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Multi-Band Effective Mass Approximations : Advanced Mathematical Models and Numerical Techniques
Modeling, Structure and Discretization of Hierarchical Mixed-Dimensional Partial Differential Equations
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Author(s):
J. M. Nordbotten
,
W. M. Boon
Publication date
(Online):
January 05 2019
Publisher:
Springer International Publishing
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Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
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Automated Solution of Differential Equations by the Finite Element Method
Anders Logg
,
Kent-Andre Mardal
,
Garth Wells
(2012)
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Finite element exterior calculus, homological techniques, and applications
Ragnar Winther
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Richard S. Falk
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Douglas N. Arnold
(2006)
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Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
Jean E. Roberts
,
Vincent S. Martin
,
Jérôme Jaffré
(2005)
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Author and book information
Book Chapter
Publication date (Print):
2018
Publication date (Online):
January 05 2019
Pages
: 87-101
DOI:
10.1007/978-3-319-93873-8_7
SO-VID:
1e81d820-e915-4ef0-906a-a9638732ad26
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Book chapters
pp. 1
Nonlinear Shell Models of Koiter’s Type
pp. 1
Introduction
pp. 3
Robust Block Preconditioners for Biot’s Model
pp. 3
Kinetic and Hydrodynamic Models for Multi-Band Quantum Transport in Crystals
pp. 11
A Survey of Stabilized Plate Elements
pp. 11
Dimension-wise Decompositions
pp. 17
An Additive Schwarz Analysis for Multiplicative Schwarz Methods: General Case
pp. 57
Electronic Properties of III-V Quantum Dots
pp. 23
Prediction of the Fatigue Crack Growth Life in Microelectronics Solder Joints
pp. 29
Dimension-wise Quadrature
pp. 31
Scalable Cardiac Electro-Mechanical Solvers and Reentry Dynamics
pp. 87
Symmetries in Multiband Hamiltonians for Semiconductor Quantum Dots
pp. 129
Finite Elements for k⋅p Multiband Envelope Equations
pp. 39
Multi-phase Flow with Reaction
pp. 45
On Overlapping Domain Decomposition Methods for High-Contrast Multiscale Problems
pp. 51
Sparse Grid Quadrature
pp. 155
Plane-Wave Approaches to the Electronic Structure of Semiconductor Nanostructures
pp. 57
Universal and Simultaneous Solution of Solid, Liquid and Gas in Cartesian-Grid-Based CIP Method
pp. 59
INTERNODES for Heterogeneous Couplings
pp. 77
Dimension Reduction and Smoothing
pp. 101
Validation and Applications
pp. 193
The Multi-Band k⋅p Hamiltonian for Heterostructures: Parameters and Applications
pp. 73
Subgrid Phenomena and Numerical Schemes
pp. 73
Domain Decomposition Approaches for PDE Based Mesh Generation
pp. 153
Summary and Conclusions
pp. 247
Transient Simulation of k⋅p-Schrödinger Systems Using Discrete Transparent Boundary Conditions
pp. 87
Modeling, Structure and Discretization of Hierarchical Mixed-Dimensional Partial Differential Equations
pp. 91
Two Scale FEM for Homogenization Problems
pp. 103
Balancing Domain Decomposition by Constraints Algorithms for Curl-Conforming Spaces of Arbitrary Order
pp. 109
Numerical Analysis of Electromagnetic Problems
pp. 273
Discrete Transparent Boundary Conditions for Multi-Band Effective Mass Approximations
pp. 119
Restricted Additive Schwarz Method for Some Inequalities Perturbed by a Lipschitz Operator
pp. 125
A-priori Domain Decomposition of PDE Systems and Applications
pp. 129
Does SHEM for Additive Schwarz Work Better than Predicted by Its Condition Number Estimate?
pp. 139
Two-Level Preconditioners for the Helmholtz Equation
pp. 155
Essential Spectrum and Mixed Type Finite Element Method
pp. 149
A Two-Level Domain-Decomposition Preconditioner for the Time-Harmonic Maxwell’s Equations
pp. 169
Can We Trust the Computational Analysis of Engineering Problems?
pp. 159
A Coarse Space to Remove the Logarithmic Dependency in Neumann–Neumann Methods
pp. 185
Numerical Computations for Ill-conditioned Problems by Multiple-Precision Systems
pp. 169
A Crank-Nicholson Domain Decomposition Method for Optimal Control Problem of Parabolic Partial Differential Equation
pp. 195
Numerical Verification Methods for Solutions of Free Boundary Problems
pp. 177
Partition of Unity Methods for Heterogeneous Domain Decomposition
pp. 209
Pattern Formation of Heat Convection Problems
pp. 187
Integral Equation Based Optimized Schwarz Method for Electromagnetics
pp. 219
Mathematical Modeling and Numerical Simulation of Earth’s Mantle Convection
pp. 195
Analysis of the Shifted Helmholtz Expansion Preconditioner for the Helmholtz Equation
pp. 233
Theoretical and Numerical Analysis on 3-Dimensional Brittle Fracture
pp. 205
A Finite Difference Method with Optimized Dispersion Correction for the Helmholtz Equation
pp. 253
Exploiting Partial or Complete Geometrical Symmetry in Boundary Integral Equation Formulations of Elastodynamic Problems
pp. 215
Optimized Schwarz Methods for Elliptic Optimal Control Problems
pp. 271
A New Fast Multipole Boundary Integral Equation Method in Elastostatic Crack Problems in 3D
pp. 223
Auxiliary Space Preconditioners for a DG Discretization of H(curl; Ω)-Elliptic Problem on Hexahedral Meshes
pp. 289
Computational Crack Path Prediction and the Singularities in Elastic-Plastic Stress Fields
pp. 233
Is Minimising the Convergence Rate a Good Choice for Efficient Optimized Schwarz Preconditioning in Heterogeneous Coupling? The Stokes-Darcy Case
pp. 243
Preconditioned Space-Time Boundary Element Methods for the One-Dimensional Heat Equation
pp. 253
On High-Order Approximation and Stability with Conservative Properties
pp. 261
A Nonlinear ParaExp Algorithm
pp. 271
On Optimal Coarse Spaces for Domain Decomposition and Their Approximation
pp. 281
Analysis of Overlap in Waveform Relaxation Methods for RC Circuits
pp. 291
Convergence of Substructuring Methods for Elliptic Optimal Control Problems
pp. 301
Complete, Optimal and Optimized Coarse Spaces for Additive Schwarz
pp. 311
Heterogeneous Optimized Schwarz Methods for Coupling Helmholtz and Laplace Equations
pp. 321
Restrictions on the Use of Sweeping Type Preconditioners for Helmholtz Problems
pp. 333
Convergence of Asynchronous Optimized Schwarz Methods in the Plane
pp. 343
INTERNODES for Elliptic Problems
pp. 353
A Nonlinear Elimination Preconditioned Newton Method with Applications in Arterial Wall Simulation
pp. 363
Parallel-in-Time for Parabolic Optimal Control Problems Using PFASST
pp. 373
An Adaptive GDSW Coarse Space for Two-Level Overlapping Schwarz Methods in Two Dimensions
pp. 383
Improving the Parallel Performance of Overlapping Schwarz Methods by Using a Smaller Energy Minimizing Coarse Space
pp. 393
Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods
pp. 405
Coupling Parareal and Dirichlet-Neumann/Neumann-Neumann Waveform Relaxation Methods for the Heat Equation
pp. 415
Preconditioning of Iterative Eigenvalue Problem Solvers in Adaptive FETI-DP
pp. 425
Using Algebraic Multigrid in Inexact BDDC Domain Decomposition Methods
pp. 435
On the Accuracy of the Inner Newton Iteration in Nonlinear Domain Decomposition
pp. 445
Adaptive BDDC and FETI-DP Methods with Change of Basis Formulation
pp. 455
Nonoverlapping Three Grid Additive Schwarz for hp-DGFEM with Discontinuous Coefficients
pp. 465
Adaptive Deluxe BDDC Mixed and Hybrid Primal Discretizations
pp. 475
Additive Schwarz with Vertex Based Adaptive Coarse Space for Multiscale Problems in 3D
pp. 483
An Immersed Boundary Method Based on the L 2-Projection Approach
pp. 493
Combining Space-Time Multigrid Techniques with Multilevel Monte Carlo Methods for SDEs
pp. 503
On Block Triangular Preconditioners for the Interior Point Solution of PDE-Constrained Optimization Problems
pp. 511
Robust Multigrid Methods for Isogeometric Discretizations of the Stokes Equations
pp. 523
A Smoother Based on Nonoverlapping Domain Decomposition Methods for H(div) Problems: A Numerical Study
pp. 533
Optimized Schwarz Method for Poisson’s Equation in Rectangular Domains
pp. 543
The HTFETI Method Variant Gluing Cluster Subdomains by Kernel Matrices Representing the Rigid Body Motions
pp. 553
Small Coarse Spaces for Overlapping Schwarz Algorithms with Irregular Subdomains
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