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Firedrake: Automating the Finite Element Method by Composing Abstractions

ACM transactions on mathematical software, 2017-01, Vol.43 (3), p.1-27

2017

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A WEAK GALERKIN FINITE ELEMENT METHOD FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION-REACTION PROBLEMS

SIAM journal on numerical analysis, 2018-01, Vol.56 (3), p.1482-1497

2018

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A hybrid finite volume – finite element method for bulk–surface coupled problems

Journal of computational physics, 2018-01, Vol.352, p.516-533

2018

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Finite difference/finite element method for two-dimensional space and time fractional Bloch–Torrey equations

Journal of computational physics, 2015-07, Vol.293, p.264-279

2015

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Modeling curved interfaces without element‐partitioning in the extended finite element method

International journal for numerical methods in engineering, 2019-11, Vol.120 (5), p.607-649

2019

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Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction–diffusion problem

Computers & mathematics with applications (1987), 2015-08, Vol.70 (4), p.573-591

2015

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The scaled boundary finite-element method—alias consistent infinitesimal finite-element cell method—for elastodynamics

Computer methods in applied mechanics and engineering, 1997-08, Vol.147 (3), p.329-355

1997

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A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures

International journal for numerical methods in engineering, 2023-06, Vol.124 (12), p.2709-2730

2023

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A coupling scheme based on the partition of unity finite element method-finite element method for 3D vibro-acoustic problems

Engineering analysis with boundary elements, 2022-09, Vol.142, p.117-137

2022

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On the edge element boundary element method/finite element method coupling for time harmonic electromagnetic scattering problems

International journal for numerical methods in engineering, 2021-07, Vol.122 (14), p.3613-3652

2021

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A gradient recovery–based adaptive finite element method for convection‐diffusion‐reaction equations on surfaces

International journal for numerical methods in engineering, 2019-11, Vol.120 (7), p.901-917

2019

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Coupled thermal-hydrodynamic-mechanical–chemical numerical simulation for gas production from hydrate-bearing sediments based on hybrid finite volume and finite element method

Computers and geotechnics, 2022-05, Vol.145, p.104692, Article 104692

2022

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ANALYSIS OF A MIXED FINITE ELEMENT METHOD FOR A CAHN–HILLIARD–DARCY–STOKES SYSTEM

SIAM journal on numerical analysis, 2015-01, Vol.53 (1), p.127-152

2015

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A novel alpha finite element method ( αFEM) for exact solution to mechanics problems using triangular and tetrahedral elements

Computer methods in applied mechanics and engineering, 2008-08, Vol.197 (45), p.3883-3897

2008

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Immersed‐interface finite element method based on a nonconformal Petrov–Galerkin formulation

International journal for numerical methods in engineering, 2021-08, Vol.122 (15), p.3824-3844

Patil, Mayuresh J.

2021

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Energy-based comparison between the Fourier–Galerkin method and the finite element method

Journal of computational and applied mathematics, 2020-08, Vol.374, p.112585, Article 112585

2020

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β-Robust Superconvergent Analysis of a Finite Element Method for the Distributed Order Time-Fractional Diffusion Equation

Journal of scientific computing, 2022, Vol.90 (1), p.44, Article 44

2022

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An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch–Torrey equations

Applied numerical mathematics, 2018-09, Vol.131, p.190-206

2018

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Numerical Simulation and Optimization of Screening Process for Vibrating Flip-Flow Screen Based on Discrete Element Method–Finite Element Method–Multi-Body Dynamics Coupling Method

Minerals (Basel), 2024-03, Vol.14 (3), p.278

2024

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Two-grid method for miscible displacement problem by mixed finite element methods and finite element method of characteristics

Computers & mathematics with applications (1987), 2016-12, Vol.72 (11), p.2694-2715

2016

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Optimal convergence analysis for the extended finite element method

International journal for numerical methods in engineering, 2011-04, Vol.86 (4-5), p.528-548

2011

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Coupling of the meshless finite volume particle method and the finite element method for fluid–structure interaction with thin elastic structures

European journal of mechanics, B, Fluids, 2022-03, Vol.92, p.117-131

2022

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A p‐adaptive, implicit‐explicit mixed finite element method for diffusion‐reaction problems

International journal for numerical methods in engineering, 2022-07, Vol.123 (14), p.3237-3263

2022

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A hybrid finite element–finite volume method for conservation laws

Applied mathematics and computation, 2023-06, Vol.447, p.127846, Article 127846

2023

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Finite strain, finite rotation quadratic tetrahedral element for the combined finite-discrete element method

International journal for numerical methods in engineering, 2009-08, Vol.79 (8), p.946-978

2009

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Firedrake: Automating the Finite Element Method by Composing Abstractions

A WEAK GALERKIN FINITE ELEMENT METHOD FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION-REACTION PROBLEMS

A hybrid finite volume – finite element method for bulk–surface coupled problems

Finite difference/finite element method for two-dimensional space and time fractional Bloch–Torrey equations

Modeling curved interfaces without element‐partitioning in the extended finite element method

Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction–diffusion problem

The scaled boundary finite-element method—alias consistent infinitesimal finite-element cell method—for elastodynamics

A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures

A coupling scheme based on the partition of unity finite element method-finite element method for 3D vibro-acoustic problems

On the edge element boundary element method/finite element method coupling for time harmonic electromagnetic scattering problems

A gradient recovery–based adaptive finite element method for convection‐diffusion‐reaction equations on surfaces

Coupled thermal-hydrodynamic-mechanical–chemical numerical simulation for gas production from hydrate-bearing sediments based on hybrid finite volume and finite element method

ANALYSIS OF A MIXED FINITE ELEMENT METHOD FOR A CAHN–HILLIARD–DARCY–STOKES SYSTEM

A novel alpha finite element method ( αFEM) for exact solution to mechanics problems using triangular and tetrahedral elements

Immersed‐interface finite element method based on a nonconformal Petrov–Galerkin formulation

Energy-based comparison between the Fourier–Galerkin method and the finite element method

β-Robust Superconvergent Analysis of a Finite Element Method for the Distributed Order Time-Fractional Diffusion Equation

An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch–Torrey equations

Numerical Simulation and Optimization of Screening Process for Vibrating Flip-Flow Screen Based on Discrete Element Method–Finite Element Method–Multi-Body Dynamics Coupling Method

Two-grid method for miscible displacement problem by mixed finite element methods and finite element method of characteristics

Optimal convergence analysis for the extended finite element method

Coupling of the meshless finite volume particle method and the finite element method for fluid–structure interaction with thin elastic structures

A p‐adaptive, implicit‐explicit mixed finite element method for diffusion‐reaction problems

A hybrid finite element–finite volume method for conservation laws

Finite strain, finite rotation quadratic tetrahedral element for the combined finite-discrete element method

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