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This volume comprises selected papers from the SIAM International Meshing Roundtable Workshop 2023, SIAM IMR 2023, held in Amsterdam, the Netherlands, March 6-9, 2023. The IMR was started by Sandia National Laboratories in 1992 and, since 2021, it has been held under the umbrella of the Society for Industrial and Applied Mathematics (SIAM). The SIAM IMR 2023 was the first in-situ conference to be held since 2019, after two online conferences. It consisted of short courses, technical presentations from keynotes, contributed talks and research notes, a poster session and meshing contest, and discussion panels. The papers in these proceedings present novel contributions that range from theoretical advances to technical applications in engineering, geometric modeling, computer graphics, visualization, and machine learning.
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Finite element, finite volume and finite difference methods use grids to solve the numerous differential equations that arise in the modelling of physical systems in engineering. Structured grid generation forms an integral part of the solution of these procedures. Basic Structured Grid Generation provides the necessary mathematical foundation required for the successful generation of boundary-conforming grids and will be an important resource for postgraduate and practising engineers.The treatment of structured grid generation starts with basic geometry and tensor analysis before mo
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This book is an introduction to structured and unstructured grid methods in scientific computing, addressing graduate students, scientists as well as practitioners. Basic local and integral grid quality measures are formulated and new approaches to mesh generation are reviewed. In addition to the content of the successful first edition, a more detailed and practice oriented description of monitor metrics in Beltrami and diffusion equations is given for generating adaptive numerical grids. Also, new techniques developed by the author are presented, in particular a technique based on the inverted form of Beltrami’s partial differential equations with respect to control metrics. This technique allows the generation of adaptive grids for a wide variety of computational physics problems, including grid clustering to given function values and gradients, grid alignment with given vector fields, and combinations thereof. Applications of geometric methods to the analysis of numerical grid behavior as well as grid generation based on the minimization of functionals of smoothness, conformality, orthogonality, energy, and alignment complete the second edition of this outstanding compendium on grid generation methods.
Numerical grid generation (Numerical analysis). --- Numerical grid generation (Numerical analysis) --- Applied Physics --- Calculus --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Numerical analysis. --- Coordinate generation, Numerical (Numerical analysis) --- Generation of numerical grids (Numerical analysis) --- Grid generation, Numerical (Numerical analysis) --- Mesh generation, Numerical (Numerical analysis) --- Numerical coordinate generation (Numerical analysis) --- Numerical mesh generation (Numerical analysis) --- Physics. --- Computer science --- Computer mathematics. --- Applied mathematics. --- Engineering mathematics. --- Theoretical, Mathematical and Computational Physics. --- Computational Mathematics and Numerical Analysis. --- Mathematics of Computing. --- Appl.Mathematics/Computational Methods of Engineering. --- Mathematics. --- Boundary value problems --- Differential equations, Partial --- Nets (Mathematics) --- Numerical analysis --- Mathematical analysis --- Numerical solutions
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This volume contains the articles presented at the 21st International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and was held on October 7–10, 2012 in San Jose, CA, USA. The first IMR was held in 1992, and the conference series has been held annually since. Each year the IMR brings together researchers, developers, and application experts in a variety of disciplines, from all over the world, to present and discuss ideas on mesh generation and related topics. The technical papers in this volume present theoretical and novel ideas and algorithms with practical potential, as well as technical applications in science and engineering, geometric modeling, computer graphics, and visualization.
Computer science. --- Computer simulation. --- Numerical grid generation (Numerical analysis) -- Congresses. --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Applied Mathematics --- Civil Engineering --- Numerical grid generation (Numerical analysis) --- Differential equations, Partial --- Geometry --- Numerical solutions --- Data processing --- Coordinate generation, Numerical (Numerical analysis) --- Generation of numerical grids (Numerical analysis) --- Grid generation, Numerical (Numerical analysis) --- Mesh generation, Numerical (Numerical analysis) --- Numerical coordinate generation (Numerical analysis) --- Numerical mesh generation (Numerical analysis) --- Engineering. --- Computer science --- Applied mathematics. --- Engineering mathematics. --- Appl.Mathematics/Computational Methods of Engineering. --- Math Applications in Computer Science. --- Simulation and Modeling. --- Mathematics. --- Boundary value problems --- Nets (Mathematics) --- Numerical analysis
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This volume of LNCSE is a collection of the papers from the proceedings of the third workshop on sparse grids and applications. Sparse grids are a popular approach for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different guises, are frequently the method of choice, be it spatially adaptive in the hierarchical basis or via the dimensionally adaptive combination technique. Demonstrating once again the importance of this numerical discretization scheme, the selected articles present recent advances on the numerical analysis of sparse grids as well as efficient data structures. The book also discusses a range of applications, including uncertainty quantification and plasma physics.
Mathematics - General --- Mathematics --- Physical Sciences & Mathematics --- Sparse matrices --- Spare matrix techniques --- Matrices --- Conferences - Meetings --- Numerical analysis --- Sparse grids. --- Mathematics. --- Algorithms. --- Computer mathematics. --- Computational Science and Engineering. --- Algorithm Analysis and Problem Complexity. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Algorism --- Algebra --- Arithmetic --- Math --- Science --- Grids, Sparse --- Discretization (Mathematics) --- Numerical grid generation (Numerical analysis) --- Foundations --- Computer science. --- Computer software. --- Informatics --- Software, Computer --- Computer systems
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This volume contains the articles presented at the 19th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held October 3-6, 2010 in Chattanooga, Tennessee, USA. The first IMR was held in 1992, and the conference has been held annually since. Each year the IMR brings together researchers, developers, and application experts, from a variety of disciplines, to present and discuss ideas on mesh generation and related topics. The topics covered by the IMR have applications in numerical analysis, computational geometry, computer graphics, as well as other areas, and the presentations describe novel work ranging from theory to application.
Numerical grid generation (Numerical analysis) -- Congresses. --- Engineering & Applied Sciences --- Computer Science --- Numerical grid generation (Numerical analysis) --- Coordinate generation, Numerical (Numerical analysis) --- Generation of numerical grids (Numerical analysis) --- Grid generation, Numerical (Numerical analysis) --- Mesh generation, Numerical (Numerical analysis) --- Numerical coordinate generation (Numerical analysis) --- Numerical mesh generation (Numerical analysis) --- Engineering. --- Computer simulation. --- Applied mathematics. --- Engineering mathematics. --- Computational intelligence. --- Computational Intelligence. --- Appl.Mathematics/Computational Methods of Engineering. --- Simulation and Modeling. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Engineering --- Engineering analysis --- Mathematical analysis --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Construction --- Industrial arts --- Technology --- Mathematics --- Boundary value problems --- Differential equations, Partial --- Nets (Mathematics) --- Numerical analysis --- Numerical solutions --- Mathematical and Computational Engineering.
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This volume contains the articles presented at the 20th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and was held in Paris, France on Oct 23-26, 2011. This is the first year the IMR was held outside the United States territory. Other sponsors of the 20th IMR are Systematic Paris Region Systems & ICT Cluster, AIAA, NAFEMS, CEA, and NSF. The Sandia National Laboratories started the first IMR in 1992, and the conference has been held annually since. Each year the IMR brings together researchers, developers, and application experts, from a variety of disciplines, to present and discuss ideas on mesh generation and related topics. The topics covered by the IMR have applications in numerical analysis, computational geometry, computer graphics, as well as other areas, and the presentations describe novel work ranging from theory to application. .
Engineering mathematics. --- Numerical grid generation (Numerical analysis). --- Numerical grid generation (Numerical analysis) --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Civil Engineering --- Applied Mathematics --- Engineering. --- Computer science --- Computer simulation. --- Applied mathematics. --- Appl.Mathematics/Computational Methods of Engineering. --- Math Applications in Computer Science. --- Simulation and Modeling. --- Mathematics. --- Coordinate generation, Numerical (Numerical analysis) --- Generation of numerical grids (Numerical analysis) --- Grid generation, Numerical (Numerical analysis) --- Mesh generation, Numerical (Numerical analysis) --- Numerical coordinate generation (Numerical analysis) --- Numerical mesh generation (Numerical analysis) --- Boundary value problems --- Differential equations, Partial --- Nets (Mathematics) --- Numerical analysis --- Numerical solutions --- Computer science. --- Mathematical and Computational Engineering. --- Informatics --- Science --- Engineering --- Engineering analysis --- Mathematical analysis --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Computer science—Mathematics.
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