Well-posed and Stable Transmission Problems

• We introduce the notion of a transmission problem to describe a general class of problems where different dynamics are coupled in time. Well-posedness and stability is analysed for continuous and discrete problems using both strong and weak formulations, and a general transmission condition is obtained. The theory is applied to several examples including the coupling of fluid flow models, multi-grid implementations, multi-block formulations and numerical filtering.

Subject headings

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Keyword

Initial-boundary value problems

Transmission problems

Energy estimates

Well-posedness

Multi-block

Numerical Filter. Interpolation

Multi-grid

Summation-by-Parts

Stability

Publication and Content Type

vet (subject category)

rap (subject category)