Semi-Smooth Newton Method for Solving Unilateral Problems in Fictitious Domain Formulations
نویسندگان
چکیده
This contribution deals with the numerical solution of elliptic boundary value problems with unilateral boundary conditions using a fictitious domain method. Any fictitious domain formulation [2] extends the original problem defined in a domain ω to a new (fictitious) domain Ω with a simple geometry (e.g. a box) which contains ω. The main advantage consists in possibility to use a uniform mesh in Ω leading to a structured stiffness matrix. This enables us to apply highly efficient multiplying procedures [6].
منابع مشابه
On a Fictitious Domain Method for Unilateral Problems
This contribution deals with numerical realization of elliptic boundary value problems with unilateral boundary conditions using a fictitious domain method. Any fictitious domain formulation [2] extends the original problem defined in a domain ω to a new (fictitious) domainΩ with a simple geometry (e.g. a box) which contains ω . The main advantage consists in possibility to use a uniform mesh i...
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