Solution of the Elliptic Interface Problem by a Hybrid Mixed Finite Element Method

Solution of the Elliptic Interface Problem by a Hybrid Mixed Finite Element Method

This paper addresses the elliptic interface problem involving jump conditions across the interface. We propose a hybrid mixed finite element method on the triangulation where the interfaces are aligned with the mesh. The second-order elliptic equation is initially decomposed into two equations by in...

書誌詳細
主要な著者:	Yuhan Wang, Peiyao Wang, Rongpei Zhang, Jia Liu
フォーマット:	論文
言語:	English
出版事項:	MDPI AG 2024-06-01
シリーズ:	Mathematics
主題:	hybrid mixed finite element method discontinuous coefficient elliptic interface problem
オンライン･アクセス:	https://www.mdpi.com/2227-7390/12/12/1892

類似資料

A partially penalty immersed Crouzeix-Raviart finite element method for interface problems
著者:: Na An, 等
出版事項: (2017-08-01)

The finite element method for elliptic problems /
著者:: 445364 Ciarlet, Philippe G.
出版事項: (2002)

Flux recovery scheme for elliptic interface problems
著者:: M. El-Agamy, 等
出版事項: (2023-01-01)

Sparse tensor product finite elements for two scale elliptic and parabolic equations with discontinuous coefficients
著者:: Pang, Chen Hui, 等
出版事項: (2025)

Accurate gradient computations at interfaces using finite element methods
著者:: Qin Fangfang, 等
出版事項: (2017-09-01)

A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraints
著者:: Susanne C. Brenner, 等
出版事項: (2025-02-01)

A class of HOC finite difference method for elliptic interface problems with imperfect contact
著者:: Fujun Cao, 等
出版事項: (2023-01-01)

Existence of solutions to nonlocal elliptic equations with discontinuous terms
著者:: Francisco Julio S. A. Correa, 等
出版事項: (2012-02-01)

On the character of nonlinearity discontinuities in eigenvalue problems for elliptic equations
著者:: Dmitriy K Potapov
出版事項: (2012-09-01)

A weighted Nitsche discontinuous Galerkin finite element method for plane problems
著者:: Xiaowei DENG, 等
出版事項: (2018-12-01)

Error estimates for an augmented method for one-dimensional elliptic interface problems
著者:: Qian Zhang, 等
出版事項: (2018-09-01)

Pointwise superconvergence of block finite elements for the three-dimensional variable coefficient elliptic equation
著者:: Jinghong Liu, 等
出版事項: (2024-10-01)

A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points
著者:: Yuan Chen, 等
出版事項: (2020-11-01)

Elliptic mirror finite element analysis of double drive compensated bending
著者:: MA Tianyu, 等
出版事項: (2022-06-01)

Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
著者:: Siegfried Carl, 等
出版事項: (2002-06-01)

An introduction to the mathematical theory of finite elements /
著者:: Oden, J. Tinsley (John Tinsley), 1936-, 等
出版事項: (1976)

Estimation of discontinuous parameters in linear elliptic equations by a regularized inverse problem
著者:: Jochen Merker, 等
出版事項: (2022-06-01)

The finite element method for elliptic problems
著者:: 445364 Ciarlet, Philippe G.

Stable finite element methods for the Stokes problem
著者:: Yongdeok Kim, 等
出版事項: (2000-01-01)

Convergence Analysis and Cost Estimate of an MLMC-HDG Method for Elliptic PDEs with Random Coefficients
著者:: Meng Li, 等
出版事項: (2021-05-01)

Research on the lubricated characteristics of journal bearing based on finite element method and mixed method
著者:: Wenjie Zhou, 等
出版事項: (2022-06-01)

Iterative realization of finite difference schemes in the fictitious domain method for elliptic problems with mixed derivatives
著者:: Vasily M. Volkov, 等
出版事項: (2019-04-01)

Analysis of Crack Propagation in Composite Materials Using Mixed Finite Elements
著者:: Bougueroua Ahmed, 等
出版事項: (2024-12-01)

Numerical approximation methods for elliptic boundary value problems : finite and boundary elements /
著者:: 235765 Steinbach, Olaf
出版事項: (2008)

Singular elliptic problems with Dirichlet or mixed Dirichlet-Neumann non-homogeneous boundary conditions
著者:: Tomas Godoy
出版事項: (2022-12-01)

On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients
著者:: Abdelwahed Mohamed, 等
出版事項: (2019-10-01)

On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities
著者:: Dmitriy K Potapov
出版事項: (2012-03-01)

Fully Discrete Interpolation Coefficients Mixed Finite Element Methods for Semi-Linear Parabolic Optimal Control Problem
著者:: Jing Wang, 等
出版事項: (2022-01-01)

Multipoint flux mixed finite element method for parabolic optimal control problems
著者:: Tiantian Zhang, 等
出版事項: (2022-07-01)

Study of the enriched mixed finite element method comparing errors and computational cost with classical FEM and mixed scheme on quadrilateral meshes
著者:: Jorge Lizardo Díaz Calle, 等
出版事項: (2021-05-01)

P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions
著者:: S.C. Brenner, 等
出版事項: (2020-11-01)

A finite element method for exterior interface problems
著者:: R. C. Maccamy, 等
出版事項: (1980-01-01)

3D mixed finite elements for curved, flat piezoelectric structures
著者:: Martin Meindlhumer, 等
出版事項: (2019-10-01)

A Preserving Precision Mixed Finite Element Dimensionality Reduction Method for Unsaturated Flow Problem
著者:: Zhendong Luo, 等
出版事項: (2022-11-01)

Simulation of Stress Concentration Problems in Laminated Plates by Quasi-Trefftz Finite Element Models
著者:: Flávio Luiz de Silva Bussamra, 等

Numerical investigation of convergence in the $ L^{\infty} $ norm for modified SGFEM applied to elliptic interface problems
著者:: Pengfei Zhu, 等
出版事項: (2024-11-01)

Numerical and machine learning modeling of GFRP confined concrete-steel hollow elliptical columns
著者:: Haytham F. Isleem, 等
出版事項: (2024-08-01)

A Finite Volume Method to Solve the Ill-Posed Elliptic Problems
著者:: Ying Sheng, 等
出版事項: (2022-11-01)

Finite element analysis of an arbitrary Lagrangian–Eulerian method for Stokes/parabolic moving interface problem with jump coefficients
著者:: Rihui Lan, 等
出版事項: (2020-11-01)

Stefan Problem through Extended Finite Elements: Review and Further Investigations
著者:: Luca Salvatori, 等
出版事項: (2009-09-01)