Generalized weak Galerkin finite element method for linear elasticity interface problems

A generalized weak Galerkin finite element method for linear elasticity interface problems is presented. The generalized weak gradient (divergence) is consisted of classical gradient (divergence) and the solution of local problem. Thus, the finite element space can be extended to arbitrary combinati...

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Vydané v:Numerical algorithms Ročník 99; číslo 2; s. 1005 - 1042
Hlavní autori: Wang, Yue, Gao, Fuzheng
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Springer US 01.06.2025
Springer Nature B.V
Predmet:
Algebra
Algorithms
Charged particles
Computer Science
Divergence
Elasticity
Finite element analysis
Finite element method
Flexibility
Galerkin method
Interfaces
Mathematical analysis
Numeric Computing
Numerical Analysis
Polynomials
Regularity
Theory of Computation
Generalized weak gradient
Weak Galerkin finite element method
Error estimates
Linear elasticity interface problems
Generalized weak divergence
ISSN:1017-1398, 1572-9265
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Shrnutí:A generalized weak Galerkin finite element method for linear elasticity interface problems is presented. The generalized weak gradient (divergence) is consisted of classical gradient (divergence) and the solution of local problem. Thus, the finite element space can be extended to arbitrary combination of piecewise polynomial spaces. The error equation and error estimates are proved. The numerical results illustrate the efficiency and flexibility for different interfaces, partitions and combinations, the locking-free property, the well performance for low regularity solution in discrete energy, L 2 and L ∞ norms. Meanwhile, we present the numerical comparison between our algorithm and the weak Galerkin finite element algorithm to demonstrate the flexibility of our algorithm. In addition, for some cases, the convergence rates in numerical tests are obviously higher than the theoretical prediction for the smooth and low regularity solutions.
Bibliografia:ObjectType-Article-1
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content type line 14
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-024-01904-x