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A condensed generalized finite element method (CGFEM) for interface problems - MaRDI portal

A condensed generalized finite element method (CGFEM) for interface problems (Q2670350)

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Language	Label	Description	Also known as
English	A condensed generalized finite element method (CGFEM) for interface problems	scientific article

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scholarly article

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A condensed generalized finite element method (CGFEM) for interface problems (English)

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Ivo M. Babuška

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Computer Methods in Applied Mechanics and Engineering

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publication date

11 March 2022

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zbMATH Keywords

GFEM

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XFEM

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interface

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condensed scheme

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conditioning

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2021.114537

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The Immersed Interface Method

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Numerical analysis of blood flow in the heart

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

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The finite element method for elliptic equations with discontinuous coefficients

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Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces

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Finite element methods and their convergence for elliptic and parabolic interface problems

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Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients

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The immersed finite volume element methods for the elliptic interface problems

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An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions

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An immersed finite element space and its approximation capability

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New Cartesian grid methods for interface problems using the finite element formulation

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Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems

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Stabilized Lagrange multiplier method for elliptic and parabolic interface problems

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$\phi$-FEM: A Finite Element Method on Domains Defined by Level-Sets

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An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.

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A cut finite element method for a Stokes interface problem

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An unfitted interface penalty finite element method for elliptic interface problems

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Analysis of an efficient finite element method for embedded interface problems

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Optimal preconditioners for Nitsche-XFEM discretizations of interface problems

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Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations

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An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems

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Strongly stable generalized finite element method: application to interface problems

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Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem

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Stable generalized finite element method and associated iterative schemes; application to interface problems

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An Extended Finite Element Method for Two-Phase Fluids

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Stability of incompressible formulations enriched with X-FEM

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A computational approach to handle complex microstructure geometries.

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Higher-order XFEM for curved strong and weak discontinuities

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The stable XFEM for two-phase flows

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On the stability and interpolating properties of the hierarchical interface-enriched finite element method

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Approximation capabilities of immersed finite element spaces for elasticity Interface problems

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Error estimates for a partially penalized immersed finite element method for elasticity interface problems

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THE PARTITION OF UNITY METHOD

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The partition of unity finite element method: basic theory and applications

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Stable generalized finite element method (SGFEM)

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Survey of meshless and generalized finite element methods: A unified approach

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An \(h\)-\(p\) adaptive method using clouds

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Multiscale Finite Element Methods

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Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems

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Analysis of an XFEM Discretization for Stokes Interface Problems

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A unified enrichment approach addressing blending and conditioning issues in enriched finite elements

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A stabilization technique for the regularization of nearly singular extended finite elements

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A robust preconditioning technique for the extended finite element method

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A simple and efficient preconditioning scheme for Heaviside enriched XFEM

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Stable enrichment and local preconditioning in the particle-partition of unity method

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The orthonormalized generalized finite element method-OGFEM: efficient and stable reduction of approximation errors through multiple orthonormalized enriched basis functions

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A note on the conditioning of a class of generalized finite element methods

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A stable generalized finite element method (SGFEM) of degree two for interface problems

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Improved implementation and robustness study of the X-FEM for stress analysis around cracks

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Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization

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Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture

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Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities

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A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics

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A stable generalized/extended FEM with discontinuous interpolants for fracture mechanics

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A stable generalized/extended \(p\)-hierarchical FEM for three-dimensional linear elastic fracture mechanics

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Stable generalized finite element method (SGFEM) for parabolic interface problems

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Mass lumping strategies for X-FEM explicit dynamics: Application to crack propagation

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A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration

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The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns

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The intrinsic partition of unity method

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The intrinsic XFEM for two-fluid flows

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RBF-PU method for pricing options under the jump-diffusion model with local volatility

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Scattered Data Approximation

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Improved XFEM -- an extra-DoF free, well-conditioning, and interpolating XFEM

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Effect of numerical integration on meshless methods

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A stable extended FEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers

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Generalized finite element enrichment functions for discontinuous gradient fields

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New Formulations for Interface Problems in Polar Coordinates

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Approximation capability of a bilinear immersed finite element space

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Approximation properties of the generalized finite element method

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The Mathematical Theory of Finite Element Methods

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Identifiers

10.1016/j.cma.2021.114537

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2670350

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