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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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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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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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F‐bar aided edge‐based smoothed finite element method using tetrahedral elements for finite deformation analysisof nearly incompressible solids

International journal for numerical methods in engineering, 2017-03, Vol.109 (11), p.1582-1606

2017

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Dual boundary element method and finite element method for mixed‐mode crack propagation simulations in a cracked hollow shaft

Fatigue & fracture of engineering materials & structures, 2018-01, Vol.41 (1), p.84-98

2018

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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 stabilized cut finite element method for partial differential equations on surfaces: The Laplace–Beltrami operator

Computer methods in applied mechanics and engineering, 2015-03, Vol.285, p.188-207

2015

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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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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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3-D Implicit-Explicit Hybrid Finite Difference/Spectral Element/Finite Element Time Domain Method Without a Buffer Zone

IEEE transactions on antennas and propagation, 2019-08, Vol.67 (8), p.5469-5476

2019

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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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Possibilities of the particle finite element method for fluid–soil–structure interaction problems

Computational mechanics, 2011-09, Vol.48 (3), p.307-318

2011

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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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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 Lagrangian–Eulerian particle finite element method for free‐surface and fluid–structure interaction problems

International journal for numerical methods in engineering, 2024-03, Vol.125 (5), p.n/a

2024

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Modeling crack discontinuities without element‐partitioning in the extended finite element method

International journal for numerical methods in engineering, 2017-06, Vol.110 (11), p.1021-1048

2017

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Direct finite element method for nonlinear analysis of semi‐unbounded dam–water–foundation rock systems

Earthquake engineering & structural dynamics, 2017-07, Vol.46 (8), p.1267-1285

2017

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Moving mesh method with variational multiscale finite element method for convection–diffusion–reaction equations

Engineering with computers, 2024-06, Vol.40 (3), p.1943-1965

2024

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A staggered cell‐centered finite element method for Stokes problems with variable viscosity on general meshes

Numerical methods for partial differential equations, 2023-03, Vol.39 (2), p.1729-1766

2023

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Spark-plasma-sintering and finite element method: From the identification of the sintering parameters of a submicronic α-alumina powder to the development of complex shapes

Acta materialia, 2016-01, Vol.102, p.169-175

2016

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Multiphysics mixed finite element method with Nitsche's technique for Stokes‐poroelasticity problem

Numerical methods for partial differential equations, 2023-01, Vol.39 (1), p.544-576

2023

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Stability and error estimation of θ-difference finite element method with C-Bézier basis

Journal of applied mathematics & computing, 2023-12, Vol.69 (6), p.4855-4875

2023

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Virtual and smoothed finite elements: A connection and its application to polygonal/polyhedral finite element methods

International journal for numerical methods in engineering, 2015-12, Vol.104 (13), p.1173-1199

2015

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

Numerical algorithms, 2022-02, Vol.89 (2), p.611-636

Hu, Hanzhang

2022

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A pressure‐robust weak Galerkin finite element method for Navier–Stokes equations

Numerical methods for partial differential equations, 2023-05, Vol.39 (3), p.2327-2354

Mu, Lin

2023

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