Fictitious domain method with boundary value correction using penalty-free Nitsche method
نویسندگان
چکیده
منابع مشابه
A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
In this note we show that the non-symmetric version of the classical Nitsche’s method for the weak imposition of boundary conditions is stable without penalty term. We prove optimal H1-error estimates and L2-error estimates that are suboptimal with half an order in h. Both the pure diffusion and the convection–diffusion problems are discussed.
متن کاملParallel Fictitious Domain Method for a Nonlinear Elliptic Neumann Boundary Value Problem Parallel Fictitious Domain Method for a Nonlinear Elliptic Neumann Boundary Value Problem
Parallelization of the algebraic ctitious domain method is considered for solving Neumann boundary value problems with variable coeecients. The resulting method is applied to the parallel solution of the subsonic full potential ow problem which is linearized by the Newton method. Good scalability of the method is demonstrated in Cray T3E distributed memory parallel computer using MPI in communi...
متن کاملFictitious Domain Methods Using Cut Elements: Iii. a Stabilized Nitsche Method for Stokes’ Problem
We extend our results on fictitious domain methods for Poisson’s problem to the case of incompressible elasticity, or Stokes’ problem. The mesh is not fitted to the domain boundary. Instead boundary conditions are imposed using a stabilized Nitsche type approach. Control of the non-physical degrees of freedom, i.e., those outside the physical domain, is obtained thanks to a ghost penalty term f...
متن کاملFictitious domain finite element methods using cut elements: II. A stabilized Nitsche method
We extend the classical Nitsche type weak boundary conditions to a fictitious domain setting. An additional penalty term, acting on the jumps of the gradients over element faces in the interface zone, is added to ensure that the conditioning of the matrix is independent of how the boundary cuts the mesh. Optimal a priori error estimates in the H1 and L2 norms are proved as well as an upper boun...
متن کاملParallel fictitious domain method for a non-linear elliptic neumann boundary value problem
Parallelization of the algebraic ctitious domain method is considered for solving Neumann boundary value problems with variable coeecients. The resulting method is applied to the parallel solution of the subsonic full potential ow problem which is linearized by the Newton method. Good scalability of the method is demonstrated in Cray T3E distributed memory parallel computer using MPI in communi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Numerical Mathematics
سال: 2017
ISSN: 1569-3953,1570-2820
DOI: 10.1515/jnma-2016-1103