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Scientific Computing and Applications : Advances in the Theory of Computational Mathematics, V. 7. - Peter Minev

Scientific Computing and Applications

By: Peter Minev, Yanping Lin

Hardcover | 1 August 2001

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Contents: An Optimal Order Multilevel Preconditioner with Respect to Problem and Discretisation Parameters; 3D Numerical Simulation of Drop Coalescence; Fully Implicit Implementation of Boundary Conditions in Operator-Splitting Methods for Steady Incompressible Navier-Stokes Equations; Point-Distributed Algorithms on Locally Refined Grids for Second Order Elliptic Equations; Anisotropic Mesh Adaptation Through Hierarchical Error Estimators; Operator Splitting for Compressible Miscible Displacement in Porous Media; On Smoothers in Parallel Coupled Multigrid Methods for Incompressible Navier-Stokes Equations; Time-Evolving Interfaces in a Stokes Flow; Adaptive Finite Volume Element Method for Convection-Diffusion-Reaction Problems in 3-D; A Rectangular Immersed Finite Element Space for Interface Problems; Convergence Analysis For Quadrilateral Rotated Q1 Elements; A Spectral Solver for the Three-Dimensional Navier-Stokes Equations in Velocity-Vorticity Formulation; B-spline Collocation Methods for Elasticity Problems; Moving Mesh Finite Element Methods Based on Harmonic Maps; Interface Solvers and Preconditioners of Domain Decomposition Type for Multiphase Flow in Multiblock Porous Media; Statistical Equipartition and the Method of Spectral Reduction; 2D Large Eddy Simulation of Highly Stratified Flow: The Stepwise Structure Effect; Time-Domain Computation of Acoustics with Realistic Geometry and Impedance Boundary Condition; The Effect of Numerical Diffusion on Gas-Solids Fluidised Beds and the Use of Deferred Correction in a Finite Volume Method to Stabilise High Order Discretisation of Convection Terms; Fluid-Structure Interaction: Applications in Nonlinear Aeroelasticity; The Dynamic Response of a Two-dimensional Airfoil with Bilinear Structural Nonlinearity; A Numerical Approximation to the Solution of a Non-local Obstacle Thermistor Problem; Effect of Aspect Ratio on Three-Dimensional Natural Convection in a Horisontal Enclosure with a Uniform Heat Flux on the Lower Surface; Structure Preserving Integration Algorithms; Efficiency of Multigrid Methods for the Numerical Simulation of Coupled Fluid-Solid Problems; A Positive Spatial Advection Scheme on Triangular Meshes for Tracer Transport; A Dynamic Equilibrium Approach: The Application in Long-Term Energy Planning; Finite Element Pricing Methods for Pricing American Options on Stocks; lndex.

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