[图书][B] The immersed interface method: numerical solutions of PDEs involving interfaces and irregular domains
Interface problems arise in many applications. For example, when there are two different
materials, such as water and oil, or the same material but at different states, such as water …
materials, such as water and oil, or the same material but at different states, such as water …
An interface-fitted mesh generator and virtual element methods for elliptic interface problems
A simple and efficient interface-fitted mesh generation algorithm which can produce a semi-
structured interface-fitted mesh in two and three dimensions quickly is developed in this …
structured interface-fitted mesh in two and three dimensions quickly is developed in this …
[图书][B] Combined methods for elliptic equations with singularities, interfaces and infinities
ZC Li - 2013 - books.google.com
In this book the author sets out to answer two important questions: 1. Which numerical
methods may be combined together? 2. How can different numerical methods be matched …
methods may be combined together? 2. How can different numerical methods be matched …
[HTML][HTML] Eulerian finite element methods for interface problems and fluid-structure interactions
S Frei - 2016 - archiv.ub.uni-heidelberg.de
In dieser Arbeit entwickeln wir akkurate und robuste numerische Methoden für Interface-
Probleme mit beweglichen Interfaces. Der Fokus liegt hierbei auf der Simulation von Fluid …
Probleme mit beweglichen Interfaces. Der Fokus liegt hierbei auf der Simulation von Fluid …
A locally modified parametric finite element method for interface problems
We present a modified finite element method that is able to approximate interface problems
with high accuracy. We consider interface problems where the solution is continuous; its …
with high accuracy. We consider interface problems where the solution is continuous; its …
[HTML][HTML] Geometric re-meshing strategies to simulate contactless rebounds of elastic solids in fluids
J Fara, S Schwarzacher, K Tůma - Computer Methods in Applied …, 2024 - Elsevier
The paper deals with the rebound of an elastic solid off a rigid wall of a container filled with
an incompressible Newtonian fluid. Our study focuses on a collision-free bounce, meaning a …
an incompressible Newtonian fluid. Our study focuses on a collision-free bounce, meaning a …
On time discretizations of fluid-structure interactions
In this contribution, time discretizations of fluid-structure interactions are considered. We
explore two specific complexities: first, the stiffness of the coupled system including different …
explore two specific complexities: first, the stiffness of the coupled system including different …
Adaptive mesh refinement and superconvergence for two-dimensional interface problems
Adaptive mesh refinement and the Börgers algorithm are combined to generate a body-
fitted mesh which can resolve the interface with fine geometric details. Standard linear finite …
fitted mesh which can resolve the interface with fine geometric details. Standard linear finite …
An augmented interface approach in fictitious domain methods
We introduce a new type of fictitious domain method to solve elliptic problems defined over
curved complicated domains. In fictitious domain methods with a penalty approach, given …
curved complicated domains. In fictitious domain methods with a penalty approach, given …
On finite element domain imbedding methods
C Börgers, OB Widlund - SIAM journal on numerical analysis, 1990 - SIAM
Finite element domain imbedding methods for the Helmholtz equation with Neumann and
Dirichlet boundary conditions on nonrectangular domains in two space dimensions are …
Dirichlet boundary conditions on nonrectangular domains in two space dimensions are …