Search results for "Petrov-Galerkin"

Hits ?▲	Authors	Title	Venue	Year	Link
30	Chi Hoang, Youngsoo Choi, Kevin Carlberg	Domain-decomposition least-squares Petrov-Galerkin (DD-LSPG) nonlinear model reduction.	CoRR	2020	DBLP BibTeX RDF
30	Yidong Luo	Petrov-Galerkin Method on Modified Symm's Integral Equation from Interior and Exterior Dirichlet Problem.	CoRR	2020	DBLP BibTeX RDF
30	David Lee	Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to vorticity stabilisation in shallow water.	CoRR	2020	DBLP BibTeX RDF
30	Julia Brunken, Kathrin Smetana	Stable and efficient Petrov-Galerkin methods for a kinetic Fokker-Planck equation.	CoRR	2020	DBLP BibTeX RDF
30	Waixiang Cao, Lueling Jia, Zhimin Zhang 0002	A C1 Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence.	CoRR	2020	DBLP BibTeX RDF
30	Sebastian Grimberg, Charbel Farhat, Radek Tezaur, Charbel Bou-Mosleh	Mesh sampling and weighting for the hyperreduction of nonlinear Petrov-Galerkin reduced-order models with local reduced-order bases.	CoRR	2020	DBLP BibTeX RDF
30	Yichen Wei, Lijun Yi	An hp-version of the C0-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems.	Adv. Comput. Math.	2020	DBLP DOI BibTeX RDF
30	Haotao Cai, Yanping Chen 0002, Yunqing Huang	A Legendre-Petrov-Galerkin method for solving Volterra integro-differential equations with proportional delays.	Int. J. Comput. Math.	2019	DBLP DOI BibTeX RDF
30	A. K. Gupta, Santanu Saha Ray	The Petrov-Galerkin finite element method for the numerical solution of time-fractional Sharma-Tasso-Olver equation.	Int. J. Model. Simul. Sci. Comput.	2019	DBLP DOI BibTeX RDF
30	Brendan Keith, Ali Vaziri Astaneh, Leszek F. Demkowicz	Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov-Galerkin Methods.	SIAM J. Numer. Anal.	2019	DBLP DOI BibTeX RDF
30	Johannes Ernesti, Christian Wieners	Space-Time Discontinuous Petrov-Galerkin Methods for Linear Wave Equations in Heterogeneous Media.	Comput. Methods Appl. Math.	2019	DBLP DOI BibTeX RDF
30	Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan, Norbert Heuer	Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods.	Comput. Methods Appl. Math.	2019	DBLP DOI BibTeX RDF
30	Lucas Pantuza Amorim, Renato Cardoso Mesquita, Thiago De Sousa Goveia, Bruno Carvalho Correa	Node-to-Node Realization of Meshless Local Petrov Galerkin (MLPG) Fully in GPU.	IEEE Access	2019	DBLP DOI BibTeX RDF
30	Julia Brunken, Kathrin Smetana, Karsten Urban	(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods.	SIAM J. Sci. Comput.	2019	DBLP DOI BibTeX RDF
30	Youngsoo Choi, Kevin Carlberg	Space-Time Least-Squares Petrov-Galerkin Projection for Nonlinear Model Reduction.	SIAM J. Sci. Comput.	2019	DBLP DOI BibTeX RDF
30	Liqun Wang, Hui Zheng, Xin Lu, Liwei Shi	A Petrov-Galerkin finite element interface method for interface problems with Bloch-periodic boundary conditions and its application in phononic crystals.	J. Comput. Phys.	2019	DBLP DOI BibTeX RDF
30	Tomás Chacón Rebollo, Daniel Franco Coronil, Frédéric Hecht	A Petrov-Galerkin multilayer discretization to second order elliptic boundary value problems.	Comput. Math. Appl.	2019	DBLP DOI BibTeX RDF
30	Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban	Matrix oriented reduction of space-time Petrov-Galerkin variational problems.	CoRR	2019	DBLP BibTeX RDF
30	Paul Houston, Sarah Roggendorf, Kristoffer G. van der Zee	Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation.	CoRR	2019	DBLP BibTeX RDF
30	Weiping Bu, Aiguo Xiao	An h-p version of the continuous Petrov-Galerkin finite element method for Riemann-Liouville fractional differential equation with novel test basis functions.	Numer. Algorithms	2019	DBLP DOI BibTeX RDF
30	Hao Luo 0006, Binjie Li, Xiaoping Xie	Convergence Analysis of a Petrov-Galerkin Method for Fractional Wave Problems with Nonsmooth Data.	J. Sci. Comput.	2019	DBLP DOI BibTeX RDF
30	Qiao Zhuang, Ruchi Guo	High degree discontinuous Petrov-Galerkin immersed finite element methods using fictitious elements for elliptic interface problems.	J. Comput. Appl. Math.	2019	DBLP DOI BibTeX RDF
30	Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban	Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems.	ENUMATH	2019	DBLP DOI BibTeX RDF
30	Konstantinos A. Mountris, Carlos Sánchez 0005, Esther Pueyo	A Novel Paradigm for In Silico Simulation of Cardiac Electrophysiology Through the Mixed Collocation Meshless Petrov-Galerkin Method.	CinC	2019	DBLP DOI BibTeX RDF
30	Hu Chen 0001, Tao Sun	A Petrov-Galerkin spectral method for the linearized time fractional KdV equation.	Int. J. Comput. Math.	2018	DBLP DOI BibTeX RDF
30	Davoud Mirzaei	A Petrov-Galerkin Kernel Approximation on the Sphere.	SIAM J. Numer. Anal.	2018	DBLP DOI BibTeX RDF
30	Carsten Carstensen, Friederike Hellwig	Optimal Convergence Rates for Adaptive Lowest-Order Discontinuous Petrov-Galerkin Schemes.	SIAM J. Numer. Anal.	2018	DBLP DOI BibTeX RDF
30	Beiping Duan, Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou 0002	Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems.	Comput. Methods Appl. Math.	2018	DBLP DOI BibTeX RDF
30	Hao Yu, Boying Wu, Dazhi Zhang	A generalized Laguerre spectral Petrov-Galerkin method for the time-fractional subdiffusion equation on the semi-infinite domain.	Appl. Math. Comput.	2018	DBLP DOI BibTeX RDF
30	Andrew T. Barker, Veselin Dobrev, Jayadeep Gopalakrishnan, Tzanio V. Kolev	A Scalable Preconditioner for a Primal Discontinuous Petrov-Galerkin Method.	SIAM J. Sci. Comput.	2018	DBLP DOI BibTeX RDF
30	Kookjin Lee, Kevin Carlberg, Howard C. Elman	Stochastic Least-Squares Petrov-Galerkin Method for Parameterized Linear Systems.	SIAM/ASA J. Uncertain. Quantification	2018	DBLP DOI BibTeX RDF
30	Carsten Carstensen, Philipp Bringmann, Friederike Hellwig, Peter Wriggers	Nonlinear discontinuous Petrov-Galerkin methods.	Numerische Mathematik	2018	DBLP DOI BibTeX RDF
30	Carsten Carstensen, Sophie Puttkammer	A low-order discontinuous Petrov-Galerkin method for the Stokes equations.	Numerische Mathematik	2018	DBLP DOI BibTeX RDF
30	Tingting Meng, Lijun Yi	An h-p Version of the Continuous Petrov-Galerkin Method for Nonlinear Delay Differential Equations.	J. Sci. Comput.	2018	DBLP DOI BibTeX RDF
30	Wolfgang Dahmen, Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper	Adaptive anisotropic Petrov-Galerkin methods for first order transport equations.	J. Comput. Appl. Math.	2018	DBLP DOI BibTeX RDF
30	Baodong Dai, Dandan Wei, Hongping Ren, Zhu Zhang	The complex variable meshless local Petrov-Galerkin method for elastodynamic analysis of functionally graded materials.	Appl. Math. Comput.	2017	DBLP DOI BibTeX RDF
30	M. Rashidi Moghaddam, Gholam Hosein Baradaran	Three-dimensional free vibrations analysis of functionally graded rectangular plates by the meshless local Petrov-Galerkin (MLPG) method.	Appl. Math. Comput.	2017	DBLP DOI BibTeX RDF
30	Ehsan Kharazmi, Mohsen Zayernouri, George E. Karniadakis	Petrov-Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations.	SIAM J. Sci. Comput.	2017	DBLP DOI BibTeX RDF
30	Anna Lischke, Mohsen Zayernouri, George E. Karniadakis	A Petrov-Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line.	SIAM J. Sci. Comput.	2017	DBLP DOI BibTeX RDF
30	Mehdi Dehghan 0002, Mostafa Abbaszadeh	Numerical investigation based on direct meshless local Petrov Galerkin (direct MLPG) method for solving generalized Zakharov system in one and two dimensions and generalized Gross-Pitaevskii equation.	Eng. Comput.	2017	DBLP DOI BibTeX RDF
30	Mohammad Ilati, Mehdi Dehghan 0002	Application of direct meshless local Petrov-Galerkin (DMLPG) method for some Turing-type models.	Eng. Comput.	2017	DBLP DOI BibTeX RDF
30	Norbert Heuer, Michael Karkulik	Discontinuous Petrov-Galerkin boundary elements.	Numerische Mathematik	2017	DBLP DOI BibTeX RDF
30	Youngsoo Choi, Kevin Carlberg	Space-time least-squares Petrov-Galerkin projection for nonlinear model reduction.	CoRR	2017	DBLP BibTeX RDF
30	Holger Rauhut, Christoph Schwab	Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations.	Math. Comput.	2017	DBLP DOI BibTeX RDF
30	Lina Wang, Lijun Yi	An h-p version of the continuous Petrov-Galerkin method for Volterra delay-integro-differential equations.	Adv. Comput. Math.	2017	DBLP DOI BibTeX RDF
30	Shan Jiang, Michael Presho, Yunqing Huang	An adapted Petrov-Galerkin multi-scale finite element method for singularly perturbed reaction-diffusion problems.	Int. J. Comput. Math.	2016	DBLP DOI BibTeX RDF
30	Bangti Jin, Raytcho D. Lazarov, Zhi Zhou 0002	A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations.	SIAM J. Numer. Anal.	2016	DBLP DOI BibTeX RDF
30	Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Christoph Schwab	Multilevel Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations.	SIAM J. Numer. Anal.	2016	DBLP DOI BibTeX RDF
30	Carsten Carstensen, Friederike Hellwig	Low-Order Discontinuous Petrov-Galerkin Finite Element Methods for Linear Elasticity.	SIAM J. Numer. Anal.	2016	DBLP DOI BibTeX RDF
30	N. P. Karagiannakis, George C. Bourantas, A. N. Kalarakis, E. D. Skouras, Vasilis N. Burganos	Transient thermal conduction with variable conductivity using the Meshless Local Petrov-Galerkin method.	Appl. Math. Comput.	2016	DBLP DOI BibTeX RDF
30	Fei Song 0003, Weibing Deng, Haijun Wu	A combined finite element and oversampling multiscale Petrov-Galerkin method for the multiscale elliptic problems with singularities.	J. Comput. Phys.	2016	DBLP DOI BibTeX RDF
30	Jianwei Zhou, Juan Zhang, Ziwu Jiang	The a posteriori error estimates of Chebyshev-Petrov-Galerkin methods for second-order equations.	Appl. Math. Lett.	2016	DBLP DOI BibTeX RDF
30	Zhongqiang Zhang, Fanhai Zeng, George E. Karniadakis	Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations.	SIAM J. Numer. Anal.	2015	DBLP DOI BibTeX RDF
30	Lijun Yi, Benqi Guo	An h-p Version of the Continuous Petrov-Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels.	SIAM J. Numer. Anal.	2015	DBLP DOI BibTeX RDF
30	Volker John, Julia Novo	Analysis of the Pressure Stabilized Petrov-Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions.	SIAM J. Numer. Anal.	2015	DBLP DOI BibTeX RDF
30	Guozhong Zhao, Xijun Yu	The high order control volume discontinuous Petrov-Galerkin finite element method for the hyperbolic conservation laws based on Lax-Wendroff time discretization.	Appl. Math. Comput.	2015	DBLP DOI BibTeX RDF
30	Dandan Wei, Weiwei Zhang, Linghui Wang, Baodong Dai	The complex variable meshless local Petrov-Galerkin method for elasticity problems of functionally graded materials.	Appl. Math. Comput.	2015	DBLP DOI BibTeX RDF
30	Saeed Akhavan, Khosrow Maleknejad	Improving Petrov-Galerkin elements via Chebyshev polynomials and solving Fredholm integral equation of the second kind by them.	Appl. Math. Comput.	2015	DBLP DOI BibTeX RDF
30	Seyed Mahmoud Hosseini, Ján Sládek, Vladimír Sládek	Two dimensional analysis of coupled non-Fick diffusion-elastodynamics problems in functionally graded materials using meshless local Petrov-Galerkin (MLPG) method.	Appl. Math. Comput.	2015	DBLP DOI BibTeX RDF
30	Nathan V. Roberts, Leszek F. Demkowicz, Robert D. Moser	A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations.	J. Comput. Phys.	2015	DBLP DOI BibTeX RDF
30	Daniel Elfverson, Victor Ginting, Patrick Henning	On multiscale methods in Petrov-Galerkin formulation.	Numerische Mathematik	2015	DBLP DOI BibTeX RDF
30	Ari Stern	Banach space projections and Petrov-Galerkin estimates.	Numerische Mathematik	2015	DBLP DOI BibTeX RDF
30	Lijun Yi	An h - p Version of the Continuous Petrov-Galerkin Finite Element Method for Nonlinear Volterra Integro-Differential Equations.	J. Sci. Comput.	2015	DBLP DOI BibTeX RDF
30	Ting Zhang	Petrov-Galerkin finite element approximation for the three dimensional well model.	J. Comput. Appl. Math.	2015	DBLP DOI BibTeX RDF
30	Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Dirk Nuyens, Christoph Schwab	Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs.	SIAM J. Numer. Anal.	2014	DBLP DOI BibTeX RDF
30	Kassem Mustapha 0001, B. Abdallah, Khaled M. Furati	A Discontinuous Petrov-Galerkin Method for Time-Fractional Diffusion Equations.	SIAM J. Numer. Anal.	2014	DBLP DOI BibTeX RDF
30	Christian Mollet	Stability of Petrov-Galerkin Discretizations: Application to the Space-Time Weak Formulation for Parabolic Evolution Problems.	Comput. Methods Appl. Math.	2014	DBLP DOI BibTeX RDF
30	Baodong Dai, Qifang Wang, Weiwei Zhang, Linghui Wang	The complex variable meshless local Petrov-Galerkin method for elastodynamic problems.	Appl. Math. Comput.	2014	DBLP DOI BibTeX RDF
30	Masayuki Yano	A Space-Time Petrov-Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations.	SIAM J. Sci. Comput.	2014	DBLP DOI BibTeX RDF
30	Victor M. Calo, Nathan O. Collier, Antti H. Niemi	Analysis of the discontinuous Petrov-Galerkin method with optimal test functions for the Reissner-Mindlin plate bending model.	Comput. Math. Appl.	2014	DBLP DOI BibTeX RDF
30	Jesse Chan, John A. Evans, Weifeng Qiu	A dual Petrov-Galerkin finite element method for the convection-diffusion equation.	Comput. Math. Appl.	2014	DBLP DOI BibTeX RDF
30	Nathan V. Roberts	Camellia: A software framework for discontinuous Petrov-Galerkin methods.	Comput. Math. Appl.	2014	DBLP DOI BibTeX RDF
30	Dirk Broersen, Rob Stevenson 0001	A robust Petrov-Galerkin discretisation of convection-diffusion equations.	Comput. Math. Appl.	2014	DBLP DOI BibTeX RDF
30	Truman Ellis, Leszek F. Demkowicz, Jesse Chan	Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems.	Comput. Math. Appl.	2014	DBLP DOI BibTeX RDF
30	Jamal Amani Rad, Kourosh Parand	Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov-Galerkin method.	CoRR	2014	DBLP BibTeX RDF
30	Davoud Mirzaei, Robert Schaback	Solving heat conduction problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method.	Numer. Algorithms	2014	DBLP DOI BibTeX RDF
30	Mehdi Dehghan 0002, Rezvan Salehi	A meshless local Petrov-Galerkin method for the time-dependent Maxwell equations.	J. Comput. Appl. Math.	2014	DBLP DOI BibTeX RDF
30	Khosrow Maleknejad, Saeed Akhavan	Using the improved Petrov-Galerkin elements k-0 for solving nonlinear Hammerstein-Fredholm integral equations.	J. Comput. Appl. Math.	2014	DBLP DOI BibTeX RDF
30	Tan Bui-Thanh, Leszek F. Demkowicz, Omar Ghattas	A Unified Discontinuous Petrov-Galerkin Method and Its Analysis for Friedrichs' Systems.	SIAM J. Numer. Anal.	2013	DBLP DOI BibTeX RDF
30	Baodong Dai, Baojing Zheng, Qingxiang Liang, Linghui Wang	Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method.	Appl. Math. Comput.	2013	DBLP DOI BibTeX RDF
30	Fangxin Fang, Christopher C. Pain, I. M. Navon, Ahmed H. Elsheikh, Juan Du 0011, Dunhui Xiao	Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods.	J. Comput. Phys.	2013	DBLP DOI BibTeX RDF
30	Antti H. Niemi, Nathan O. Collier, Victor M. Calo	Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: Quasi-optimal test space norm.	Comput. Math. Appl.	2013	DBLP DOI BibTeX RDF
30	Antti H. Niemi, Nathan O. Collier, Victor M. Calo	Discontinuous Petrov-Galerkin method based on the optimal test space norm for steady transport problems in one space dimension.	J. Comput. Sci.	2013	DBLP DOI BibTeX RDF
30	Wolfgang Dahmen, Chunyan Huang, Christoph Schwab, Gerrit Welper	Adaptive Petrov-Galerkin Methods for First Order Transport Equations.	SIAM J. Numer. Anal.	2012	DBLP DOI BibTeX RDF
30	Mohsen Rabbani, Khosrow Maleknejad	Using orthonormal wavelet basis in Petrov-Galerkin method for solving Fredholm integral equations of the second kind.	Kybernetes	2012	DBLP DOI BibTeX RDF
30	Eid H. Doha, Waleed M. Abd-Elhameed, Youssri Hassan Youssri	Efficient spectral-Petrov-Galerkin methods for the integrated forms of third- and fifth-order elliptic differential equations using general parameters generalized Jacobi polynomials.	Appl. Math. Comput.	2012	DBLP DOI BibTeX RDF
30	Christian Harkort, Joachim Deutscher	Stability and passivity preserving Petrov-Galerkin approximation of linear infinite-dimensional systems.	Autom.	2012	DBLP DOI BibTeX RDF
30	Thoudam Roshan	A Petrov-Galerkin method for solving the generalized regularized long wave (GRLW) equation.	Comput. Math. Appl.	2012	DBLP DOI BibTeX RDF
30	L. Jones Tarcius Doss, A. P. Nandini	Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem.	Int. J. Math. Math. Sci.	2012	DBLP DOI BibTeX RDF
30	Britton Chang, Anne Greenbaum, Eric Machorro	Global error bounds for the Petrov-Galerkin discretization of the neutron transport equation.	Numer. Linear Algebra Appl.	2011	DBLP DOI BibTeX RDF
30	Thoudam Roshan, K. S. Bhamra	Numerical solutions of the modified Burgers' equation by Petrov-Galerkin method.	Appl. Math. Comput.	2011	DBLP DOI BibTeX RDF
30	Thoudam Roshan	A Petrov-Galerkin method for equal width equation.	Appl. Math. Comput.	2011	DBLP DOI BibTeX RDF
30	Antti H. Niemi, Nathan O. Collier, Victor M. Calo	Discontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems.	ICCS	2011	DBLP DOI BibTeX RDF
30	J. Zitelli, Ignacio Muga, Leszek F. Demkowicz, Jayadeep Gopalakrishnan, David Pardo, Victor M. Calo	A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D.	J. Comput. Phys.	2011	DBLP DOI BibTeX RDF
30	Ting-Ting Shen, Kang-Zheng Xing, He-Ping Ma	A Legendre Petrov-Galerkin method for fourth-order differential equations.	Comput. Math. Appl.	2011	DBLP DOI BibTeX RDF
30	Carlo de Falco, Eugene O'Riordan	A parameter robust Petrov-Galerkin scheme for advection-diffusion-reaction equations.	Numer. Algorithms	2011	DBLP DOI BibTeX RDF
30	Eid H. Doha, Ali H. Bhrawy, R. M. Hafez	A Jacobi-Jacobi dual-Petrov-Galerkin method for third- and fifth-order differential equations.	Math. Comput. Model.	2011	DBLP DOI BibTeX RDF
30	Dominik Meidner, Boris Vexler	A Priori Error Analysis of the Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems.	SIAM J. Control. Optim.	2011	DBLP DOI BibTeX RDF
30	Thoudam Roshan	A Petrov-Galerkin method for solving the generalized equal width (GEW) equation.	J. Comput. Appl. Math.	2011	DBLP DOI BibTeX RDF
30	Radoslav L. Valkov	Petrov-Galerkin Analysis for a Degenerate Parabolic Equation in Zero-Coupon Bond Pricing.	LSSC	2011	DBLP DOI BibTeX RDF