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Smoothed Finite Element Methods

1, 2016

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LOCALIZATION OF SOLUTION OF THE PROBLEM OF THREE-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD

International Journal for Computational Civil and Structural Engineering, 2023-09, Vol.19 (3), p.155-164

2023

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CutFEM: Discretizing geometry and partial differential equations

International journal for numerical methods in engineering, 2015-11, Vol.104 (7), p.472-501

2015

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NUMERICAL SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF DAUBECHIES WAVELET DISCRETE-CONTINUAL FINITE ELEMENT METHOD

International Journal for Computational Civil and Structural Engineering, 2021-12, Vol.17 (4), p.123-133

2021

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Polyhedral elements by means of node/edge‐based smoothed finite element method

International journal for numerical methods in engineering, 2017-06, Vol.110 (11), p.1069-1100

2017

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NUMERICAL SOLUTION OF THE PROBLEM OF ISOTROPIC PLATE ANALYSIS WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD

International Journal for Computational Civil and Structural Engineering, 2020-12, Vol.16 (4)

2020

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LOCALIZATION OF SOLUTION OF THE PROBLEM OF ISOTROPIC PLATE ANALYSIS WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD

International Journal for Computational Civil and Structural Engineering, 2021-03, Vol.17 (1), p.55-74

2021

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POLYNOMIAL-DEGREE-ROBUST A POSTERIORI ESTIMATES IN A UNIFIED SETTING FOR CONFORMING, NONCONFORMING, DISCONTINUOUS GALERKIN, AND MIXED DISCRETIZATIONS

SIAM journal on numerical analysis, 2015-01, Vol.53 (2), p.1058-1081

2015

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Isogeometric Analysis: Toward Integration of CAD and FEA

1. Aufl., 2009

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Global cracking elements: A novel tool for Galerkin‐based approaches simulating quasi‐brittle fracture

International journal for numerical methods in engineering, 2020-06, Vol.121 (11), p.2462-2480

2020

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LOCALIZATION OF SOLUTION OF THE PROBLEM OF TWO-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD

International Journal for Computational Civil and Structural Engineering, 2021-06, Vol.17 (2), p.83-104

2021

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THE NONCONFORMING VIRTUAL ELEMENT METHOD FOR THE STOKES EQUATIONS

SIAM journal on numerical analysis, 2016-01, Vol.54 (6), p.3411-3435

2016

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An n-sided polygonal edge-based smoothed finite element method (nES-FEM) for solid mechanics

International journal for numerical methods in biomedical engineering, 2011-09, Vol.27 (9), p.1446-1472

2011

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A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements

International journal for numerical methods in engineering, 2009-04, Vol.78 (3), p.324-353

2009

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A weak Galerkin mixed finite element method for second order elliptic problems

Mathematics of computation, 2014-09, Vol.83 (289), p.2101-2126

2014

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The extended/generalized finite element method: An overview of the method and its applications

International journal for numerical methods in engineering, 2010-10, Vol.84 (3), p.253-304

2010

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Finite elements: theory, fast solvers, and applications in elasticity theory

3rd ed., 2007

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AXIOMS OF ADAPTIVITY WITH SEPARATE MARKING FOR DATA RESOLUTION

SIAM journal on numerical analysis, 2017-01, Vol.55 (6), p.2644-2665

2017

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Probabilistic relative entropy in elasto‐plasticity using the iterative generalized stochastic stress‐based Finite Element Method

International journal for numerical methods in engineering, 2024-05, Vol.125 (10), p.n/a

2024

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A matrix‐free approach for finite‐strain hyperelastic problems using geometric multigrid

International journal for numerical methods in engineering, 2020-07, Vol.121 (13), p.2874-2895

2020

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ANSYS Mechanical APDL for Finite Element Analysis

1, 2017

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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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A theoretical study on the smoothed FEM (S-FEM) models: Properties, accuracy and convergence rates

International journal for numerical methods in engineering, 2010-12, Vol.84 (10), p.1222-1256

2010

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Evaluating the Performance of the Hybrid Boundary Element- Finite Element (BE-FE) Method to Solve Electroencephalography (EEG) Forward Problem Based on the Mesh Quality: A Simulation Study

Frontiers in biomedical technologies, 2023-03, Vol.10 (2)

2023

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An a posteriori error estimate for the generalized finite element method for transient heat diffusion problems

International journal for numerical methods in engineering, 2017-06, Vol.110 (12), p.1103-1118

2017

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Smoothed Finite Element Methods

LOCALIZATION OF SOLUTION OF THE PROBLEM OF THREE-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD

CutFEM: Discretizing geometry and partial differential equations

NUMERICAL SOLUTION OF THE PROBLEM FOR POISSON’S EQUATION WITH THE USE OF DAUBECHIES WAVELET DISCRETE-CONTINUAL FINITE ELEMENT METHOD

Polyhedral elements by means of node/edge‐based smoothed finite element method

NUMERICAL SOLUTION OF THE PROBLEM OF ISOTROPIC PLATE ANALYSIS WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD

LOCALIZATION OF SOLUTION OF THE PROBLEM OF ISOTROPIC PLATE ANALYSIS WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD

POLYNOMIAL-DEGREE-ROBUST A POSTERIORI ESTIMATES IN A UNIFIED SETTING FOR CONFORMING, NONCONFORMING, DISCONTINUOUS GALERKIN, AND MIXED DISCRETIZATIONS

Isogeometric Analysis: Toward Integration of CAD and FEA

Global cracking elements: A novel tool for Galerkin‐based approaches simulating quasi‐brittle fracture

LOCALIZATION OF SOLUTION OF THE PROBLEM OF TWO-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF B-SPLINE DISCRETE-CONTINUAL FINITE ELEMENT METHOD

THE NONCONFORMING VIRTUAL ELEMENT METHOD FOR THE STOKES EQUATIONS

An n-sided polygonal edge-based smoothed finite element method (nES-FEM) for solid mechanics

A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements

A weak Galerkin mixed finite element method for second order elliptic problems

The extended/generalized finite element method: An overview of the method and its applications

Finite elements: theory, fast solvers, and applications in elasticity theory

AXIOMS OF ADAPTIVITY WITH SEPARATE MARKING FOR DATA RESOLUTION

Probabilistic relative entropy in elasto‐plasticity using the iterative generalized stochastic stress‐based Finite Element Method

A matrix‐free approach for finite‐strain hyperelastic problems using geometric multigrid

ANSYS Mechanical APDL for Finite Element Analysis

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

A theoretical study on the smoothed FEM (S-FEM) models: Properties, accuracy and convergence rates

Evaluating the Performance of the Hybrid Boundary Element- Finite Element (BE-FE) Method to Solve Electroencephalography (EEG) Forward Problem Based on the Mesh Quality: A Simulation Study

An a posteriori error estimate for the generalized finite element method for transient heat diffusion problems

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