interface problems
Finite Element Methods for Interface Problems with Locally Modified Triangulations
... in interface conditions, we will use a local coordinates system defined by the normal and tangential directions of the interface at some point on the ...the interface conditions to find the equation ...
77
On convergence of the immersed boundary method for elliptic interface problems
... norm. But almost no rigorous proof could be found in the literature until recently [14] in which the author showed that the velocity is indeed first order accurate for the Stokes equations with a periodic boundary ...
19
Accurate Gradient Computation for Elliptic Interface Problems with Discontinuous and Variable Coefficients
... the interface at the same time. For general interface problems, a second order accu- rate solution does not necessarily guarantee second order accuracy in its ...the interface even though the ...
104
Contractors - Subcontractors Interface Problems in the KSA Construction Projects
... cause interface problems include: Assigning part of the works to new sub-contractor without informing the original subcontractor, main contractor's financial problems, delay in contract progress ...
10
Constructions of Normal Extended Functions for Elliptic Interface Problems
... some interface conditions, such as the nonhomoge- neous solution and normal flux ...the interface problem to some non-interface ...closed interface curves are considered, ...the ...
5
Three dimensional elliptic solvers for interface problems and applications
... sional interface problems in which the coefficients, the source term, the solution and its normal flux may be discontinuous across an ...terface problems with variable but discontinuous ...for ...
32
Error estimates for an augmented method for one dimensional elliptic interface problems
... The rest of the paper is organized as follows. In Sect. 2, we describe the model prob- lem and some preliminaries. We choose the augmented variable and rewrite the inter- face problem. In Sect. 3, we analyze the method ...
16
Immersed-Interface Finite-Element Methods for Elliptic and Elasticity Interface Problems
... Elasticity interface problems (1.7)– (1.10) with such jump conditions often occur in material science. For example, in [22], they simulate the diffusional evolution of microstructure in stressed solids ...
116
Augmented Strategies for 3D Elliptic Interface Problems with Piecewise Constant Discontinuous Coefficients.
... solve interface problems numerically, we need the information about the interface such as the position, tangential and normal directions, and sometimes curvatures as ...moving interface ...
93
A partially penalty immersed Crouzeix Raviart finite element method for interface problems
... the problems of the multiple materials or fluids with different densities or conductivities or ...the interface jump conditions are uniquely determined by the integral averages on the edges as degrees of ...
29
A stabilized coupled method and its optimal error estimates for elliptic interface problems
... In this paper, we present a stabilized coupled algorithm for solving elliptic interface problems, mainly by introducing the jump of the solutions along the interface. A framework of theoretical ...
13
A finite element method for exterior interface problems
... P., "A Finite Element Method for Problems Involving the Helmholtz Equation in Two Dimensional Exterior Regions", Ph.D.. Thesis, Carnegie-Mellon University, Pittsburgh, PA, 1972..[r] ...
40
Error Analysis of the Immersed Interface Method for Elliptic Problems with an Interface.
... an interface problem. For interface problems with fixed or moving interface, free boundary problems and problems in irregular domains, analytic solutions are rarely ...immersed ...
94
Some Advances and Applications of Immersed Interface Methods.
... for interface problems, see for example, the matched interface and interface method (MIB) [73], the virtual node method [22, ...the interface is not confined and well ...the ...
154
Computation of transient viscous flows using indirect radial basis function networks
... moving interface problems, the present scheme combines the highly accurate approximator coming from the IRBFN method with the advantage of the level set method in dealing quite naturally with the moving ...
31
Immersed Interface Method for Elasticity Problems with Interfaces
... For interface problems, traditional finite element methods use body-fitted meshes or partition along the boundary or ...the interface conditions, but the partition is formed according to the ...
123
A fast finite difference method for solving Navier-Stokes equations on irregular domains
... Our Poisson solver on irregular domains is based on the fast immersed interface methodJ. (IIM) for interface problems.[r] ...
15
Singularly perturbed second order semilinear boundary value problems with interface conditions
... value problems with interface conditions has attracted much attention, es- pecially in numerical aspects; see [, –] and references ...and interface conditions, where one of the problems was ...
16