Hyperedge Replacement: Grammars and Languages
Hyperedge Replacement: Grammars and Languages
The Book of Traces
Parallel, fully automatic hp-adaptive 3D finite element package
Engineering with Computers
Graph Transformations for Modeling hp-Adaptive Finite Element Method with Triangular Elements
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part III
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications
Verification of goal-oriented HP-adaptivity
Computers & Mathematics with Applications
A parallel direct solver for the self-adaptive hp Finite Element Method
Journal of Parallel and Distributed Computing
Graph transformations for modeling parallel hp-adaptive finite element method
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
Graph grammar-driven parallel partial differential equation solver
Concurrency and Computation: Practice & Experience
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I
Declarative mesh subdivision using topological rewriting in MGS
ICGT'10 Proceedings of the 5th international conference on Graph transformations
Knowledge Representation for Human-Computer Interaction in a System Supporting Conceptual Design
Fundamenta Informaticae - Cognitive Informatics and Computational Intelligence: Theory and Applications
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The first part of our paper presents a composite programmable graph grammar model for the self-adaptive two dimensional hp Finite Element Method algorithms (2D hp-FEM) with mixed triangular and rectangular finite elements. The two dimensional model is a starting point for the three dimensional model of self-adaptive hp-FEM presented in the second part of this paper. A computational mesh is represented by a composite graph. The operations performed over the mesh are expressed by the graph grammar rules. The three dimensional model is based on the extension of the two dimensional model with rectangular finite elements. In the second part of this paper, we conclude the presentation with numerical examples concerning the generation of the optimal mesh for simulation of the Step-and-Flash Imprint Lithography (SFIL).