Crack jump conditions for elliptic problems

DOI10.1016/S0893-9659(99)00083-XzbMath0958.74051OpenAlexW1970950480MaRDI QIDQ1808437

Zhilin Li, Randall J. LeVeque, Andreas Wiegmann

Publication date: 9 April 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00083-x

zbMATH Keywords

discontinuous coefficientsjump conditionselliptic equationtransmission problempotential functionelliptic crack problempotential derivatives

Mathematics Subject Classification ID

Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (4)

Finite-difference ghost-point multigrid methods on Cartesian grids for elliptic problems in arbitrary domains ⋮ Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients ⋮ Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions ⋮ Imposing mixed Dirichlet-Neumann-Robin boundary conditions on irregular domains in a level set/ghost fluid based finite difference framework

Cites Work

• A Finite Difference Scheme for Elliptic Equations with Rough Coefficients Using a Cartesian Grid Nonconforming to Interfaces
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions

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