Explicit jump immersed interface method for virtual material design of the effective elastic moduli of composite materials

DOI10.1007/S11075-007-9063-9zbMath1150.74095OpenAlexW1998650458MaRDI QIDQ877268

Vita Rutka, Andreas Wiegmann

Publication date: 19 April 2007

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-13785

zbMATH Keywords

linear elasticityeffective elastic modulicomposite materialsexplicit jump immersed interface methodvirtual material design

Mathematics Subject Classification ID

Finite difference methods applied to problems in solid mechanics (74S20) Homogenization in equilibrium problems of solid mechanics (74Q05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (6)

EJIIM for the stationary Schrödinger equations with delta potential wells ⋮ Explicit jump immersed interface method for virtual material design of the effective elastic moduli of composite materials ⋮ Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential ⋮ How to obtain an accurate gradient for interface problems? ⋮ A new numerical method for nonlocal electrostatics in biomolecular simulations ⋮ A high order compact FD framework for elliptic BVPs involving singular sources, interfaces, and irregular domains

Cites Work

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• A Fast Iterative Algorithm for Elliptic Interface Problems
• The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions
• The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
• Shape optimization by the homogenization method

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