Multiblock Mortar Mixed Approach for Second Order Parabolic Problems

A Non-mortar Mixed Finite Element Method for Elliptic Problems on Non-matching Multiblock Grids 1

We consider the approximation of second order elliptic equations on domains that can be described as a union of sub-domains or blocks. We assume that a grid is deened on each block independently, so that the resulting grid over the entire domain need not be conforming (i.e., match) across the block boundaries. Several techniques have been developed to approximate elliptic equations on multibloc...

Mortar Finite Volume Element Approximations of Second Order Elliptic Problems

A Non-mortar Mixed Finite Element Method for Elliptic Problems on Non-matching Multiblock Grids a Non-mortar Mixed Finite Element Method for Elliptic Problems on Non-matching Multiblock Grids 1

We consider the approximation of second order elliptic equations on domains that can be described as a union of sub-domains or blocks. We assume that a grid is deened on each block independently, so that the resulting grid over the entire domain need not be conforming (i.e., match) across the block boundaries. Several techniques have been developed to approximate elliptic equations on multibloc...

A second-order positivity preserving scheme for semilinear parabolic problems

In this paper we study the convergence behaviour and geometric properties of Strang splitting applied to semilinear evolution equations. We work in an abstract Banach space setting that allows us to analyse a certain class of parabolic equations and their spatial discretizations. For this class of problems, Strang splitting is shown to be stable and second-order convergent. Moreover, it is show...

Second-Order Rectangular Domain Decomposition for Two- Dimensional Parabolic Problems

In this paper, an efficient and unconditionally stable rectangular domain decomposition algorithm is proposed. The order of accuracy of the prediction scheme of the new algorithm is second. Numerical experiments support efficiency, accuracy, and unconditional stability of the method.