A two-level additive Schwarz preconditioner based on the overlapping domain decomposition approach is proposed for the local C0 discontinuous Galerkin (LCDG) method of Kirchhoff plates.Then with the help of an intergr...A two-level additive Schwarz preconditioner based on the overlapping domain decomposition approach is proposed for the local C0 discontinuous Galerkin (LCDG) method of Kirchhoff plates.Then with the help of an intergrid transfer operator and its error estimates,it is proved that the condition number is bounded by O(1 + (H4/δ4)),where H is the diameter of the subdomains and δ measures the overlap among subdomains.And for some special cases of small overlap,the estimate can be improved as O(1 + (H3/δ3)).At last,some numerical results are reported to demonstrate the high efficiency of the two-level additive Schwarz preconditioner.展开更多
The author in this article has specially studied the deep structural contour of the earth’s crust in JZA region. Now, I further manifest that the crust-to-top of upper mantle in the region is subdivided into the seve...The author in this article has specially studied the deep structural contour of the earth’s crust in JZA region. Now, I further manifest that the crust-to-top of upper mantle in the region is subdivided into the seven density interfaces and eight-layered media by using the method of N-layered variable density. It is展开更多
We are concerned with the derivation of Poincare-Friedrichs type inequalities in the broken Sobolev space W^(2,1)(Ω;T h)with respect to a geometrically conforming,simplicial triagulation T h of a bounded Lipschitz dom...We are concerned with the derivation of Poincare-Friedrichs type inequalities in the broken Sobolev space W^(2,1)(Ω;T h)with respect to a geometrically conforming,simplicial triagulation T h of a bounded Lipschitz domainΩin R d,d∈N.Such inequalities are of interest in the numerical analysis of nonconforming finite element discretizations such as C^(0) Discontinuous Galerkin(C^(0)DG)approximations of minimization problems in the Sobolev space W^(2,1)(Ω),or more generally,in the Banach space BV^(2)(Ω)of functions of bounded second order total variation.As an application,we consider a C^(0) DG approximation of a minimization problem in BV^(2)(Ω)which is useful for texture analysis and management in image restoration.展开更多
文摘A two-level additive Schwarz preconditioner based on the overlapping domain decomposition approach is proposed for the local C0 discontinuous Galerkin (LCDG) method of Kirchhoff plates.Then with the help of an intergrid transfer operator and its error estimates,it is proved that the condition number is bounded by O(1 + (H4/δ4)),where H is the diameter of the subdomains and δ measures the overlap among subdomains.And for some special cases of small overlap,the estimate can be improved as O(1 + (H3/δ3)).At last,some numerical results are reported to demonstrate the high efficiency of the two-level additive Schwarz preconditioner.
文摘The author in this article has specially studied the deep structural contour of the earth’s crust in JZA region. Now, I further manifest that the crust-to-top of upper mantle in the region is subdivided into the seven density interfaces and eight-layered media by using the method of N-layered variable density. It is
基金The work was supported by the NSF grant DMS-1520886.
文摘We are concerned with the derivation of Poincare-Friedrichs type inequalities in the broken Sobolev space W^(2,1)(Ω;T h)with respect to a geometrically conforming,simplicial triagulation T h of a bounded Lipschitz domainΩin R d,d∈N.Such inequalities are of interest in the numerical analysis of nonconforming finite element discretizations such as C^(0) Discontinuous Galerkin(C^(0)DG)approximations of minimization problems in the Sobolev space W^(2,1)(Ω),or more generally,in the Banach space BV^(2)(Ω)of functions of bounded second order total variation.As an application,we consider a C^(0) DG approximation of a minimization problem in BV^(2)(Ω)which is useful for texture analysis and management in image restoration.
