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Zbl 1163.74356
Givoli, Dan
High-order local non-reflecting boundary conditions: a review. (English)
[J] Wave Motion 39, No. 4, 319-326 (2004). ISSN 0165-2125

Summary: A common method for numerically solving wave problems in unbounded domains is based on truncating the infinite domain via an artificial boundary B, thus defining a finite computational domain, and using a special non-reflecting boundary condition (NRBC) on B. Low-order local NRBCs have been constructed and practiced since the 1970s. Exact non-local NRBCs were introduced in the 1980s. Only recently high-order local NRBCs have been devised. These NRBCs, despite being of an arbitrarily high-order, do not involve high derivatives owing to the use of specially defined auxiliary variables. This paper reviews the latter approach, explains its advantages compared to previous approaches, and discusses the different schemes which have been proposed in this context.

MSC 2000:: *74-99 Mechanics of deformable solids
76-99 Fluid mechanics

Keywords: non-reflecting boundary conditions; absorbing boundary conditions; finite elements; finite differences; auxiliary variables; high-order

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