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Resolution of Boundary Layers on Triangular Meshes,rtance of this question and its implication for the future development of mesh generation methods there is surprisingly little evidence, either empirical or theoretical, on which one can attempt an answer. This paper presents a theoretical treatment that estimates the solution error which arises whe

carotid-bruit

A General Concept of Adaptivity in Finite Element Methods with Applications to Problems in Fluid anMotivated by applications in fluid and structural mechanics, our objective is to derive error bounds with respect to general functionals of the solution which represent the physical quantities to be computed. Using duality arguments as known from the . error analysis of finite element methods, we ob

entreat

A Solution Based ,, Norm Triangular Mesh Quality Indicator,solution information and is derived by considering the error in the .. norm when linear triangular elements are used to approximate a quadratic function. The new measure is then compared with the recent mesh quality measure based on the .. norm. Simple examples are used to show that the choice of no

Initiative

Experiments with Repartitioning and Load Balancing Adaptive Meshes,blem, we have developed PLUM, an automatic portable framework for performing adaptive largescale numerical computations in a message-passing environment. This paper presents several experimental results that verify the effectiveness of PLUM on sequences of dynamically adapted unstructured grids. We

Alpha-Cells

Distributed Octree Data Structures and Local Refinement Method for the Parallel Solution of Three-Dstributed octree structure representing a spatial decomposition of the domain is used for mesh generation, and later may be used to correct for processor load imbalances introduced at adaptive enrichment steps. A Courant stability condition is used to select smaller time steps on smaller elements of

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Throttle

Ameya D. Puranik,Ashmi S. Mangluniarminates in a finite number of steps. A procedure for assigning numbers to tetrahedra in a mesh based on a-posteriori error estimates, indicating the degree of refinement of the tetrahedron, is also presented. Numerical examples illustrating the effectiveness of the algorithm are given.

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CLAM

Tetrahedral Bisection and Adaptive Finite Elements,rminates in a finite number of steps. A procedure for assigning numbers to tetrahedra in a mesh based on a-posteriori error estimates, indicating the degree of refinement of the tetrahedron, is also presented. Numerical examples illustrating the effectiveness of the algorithm are given.

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