Well-posed and stable transmission problems
نویسندگان
چکیده
منابع مشابه
Coupling Requirements for Well Posed and Stable Multi-physics Problems
Abstract. We discuss well-posedness and stability of multi-physics problems by studying a model problem. By applying the energy method, boundary and interface conditions are derived such that the continuous and semi-discrete problem are well-posed and stable. The numerical scheme is implemented using high order finite difference operators on summation-by-parts (SBP) form and weakly imposed boun...
متن کاملAll well-posed problems have uniformly stable and convergent discretizations
This paper considers a large class of linear operator equations, including linear boundary value problems for partial differential equations, and treats them as linear recovery problems for functions from their data. Well-posedness of the problem means that this recovery is continuous. Discretization recovers restricted trial functions from restricted test data, and it is well-posed or stable, ...
متن کاملWell Posed, Stable and Weakly Coupled Fluid Structure Interaction Problems
We investigate problems of fluid structure interaction type and aim for a formulation that leads to a well posed problem and a stable numerical procedure. Our first objective is to investigate if the generally accepted formulations of the FSI problems are the only possible ones. Our second objective is to derive a numerical coupling which is truly stable. To accomplish that we will use a weak c...
متن کاملWell-posed Infinite Horizon Variational Problems
We give an effective sufficient condition for a variational problem with infinite horizon on a Riemannian manifold M to admit a smooth optimal synthesis, i. e. a smooth dynamical system on M whose positive semi-trajectories are solutions to the problem. To realize the synthesis we construct a well-projected to M invariant Lagrange submanifold of the extremals’ flow in the cotangent bundle T ∗M ...
متن کاملQuasireversibility Methods for Non-well-posed Problems
The nal value problem, ut + Au = 0 ; 0 < t < T u(T) = f with positive self-adjoint unbounded A is known to be ill-posed. One approach to dealing with this has been the method of quasireversibility, where the operator is perturbed to obtain a well-posed problem which approximates the original problem. In this work, we will use a quasi-boundary-value method, where we perturb the nal condition to ...
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 Computational Physics
سال: 2018
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2018.03.003