Meshfree methods for partial differential equations VIII. ([2017])

• Record Type: Book
• Other Titles: Meshfree methods for partial differential equations 8
• Further Information: Note: Michael Griebel, Marc Alexander Schweitzer, editors.
• Editors: Griebel, Michael, 1960-; Schweitzer, Marc Alexander
• Other Names: International Workshop on Meshfree Methods for Partial Differential Equations, 8th
• Contents: 5.1.2 Generous Overlap5.2 An L-Shaped Domain; 5.2.1 Small Overlap; 5.2.2 Generous Overlap; 6 Concluding Remarks; References; Extraction of Fragments and Waves After Impact Damage in Particle-Based Simulations; 1 Introduction; 1.1 Fragmentation; 1.2 Impact Damage and Wave Propagation; 2 Peridynamics; 3 Visualization Techniques; 3.1 Clustering; 3.2 Visualization of the Stress Tensor; 4 Experiments and Their Visual Analysis; 4.1 Fragments and Histograms; 4.2 Impact Damage and Wave Propagation; 5 Conclusion; References. A Meshfree Semi-implicit Smoothed Particle Hydrodynamics Method for Free Surface Flow1 Introduction; 2 Problem Formulation and Models; 2.1 The Kernel Function; 2.2 Governing Equations; 2.3 Hydrostatic Approximation; 3 Construction of a Meshfree Semi-implicit SPH Scheme; 3.1 The Smoothed Particle Hydrodynamics Method; 3.2 Classical SPH Formulation; 3.3 SPH Formulation of Vila and Ben Moussa; 3.4 Semi-implicit SPH Scheme; 3.5 The Free Surface Equation; 3.6 Neighboring Search Technique; 4 Numerical Results; 4.1 A Collapsing Gaussian Bump; 5 Conclusion; References. A Meshfree Method for the Fractional Advection-Diffusion Equation1 Introduction; 2 RKPM Approximation for the Fractional Derivative; 2.1 Alternative Approximation for the Fractional Derivative Using RKPM; 3 Spatial Fractional Advection-Diffusion Equation via RKPM; 4 Illustrative Examples; 4.1 Steady State Examples; 4.2 Time-Dependent Examples; 5 Conclusion; References; Meshless Multi-Point Flux Approximation; 1 Introduction; 2 Fluid Flow Modelling Using SPH; 2.1 Kernel Property; 3 Meshless Transmissibilities; 4 Discontinuous Mobility Case; 4.1 Anisotropic Case; 5 Numerical Experiments. 6 ConclusionReferences; Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations; 1 Introduction; 1.1 Heterogeneous Helmholtz Problem; 1.2 Motivation for a Multiscale Method and Stability Analysis; 2 Stability of the Heterogeneous Helmholtz Model; 2.1 Statement of Stability, Connections to Inf-Sup Constants, and Boundedness; 2.2 Example Coefficients; 3 The Multiscale Method; 3.1 Meshes and Data Structures; 3.2 Definition of the Method; 4 Error Analysis; 5 Numerical Examples; 6 Conclusions; Appendix: Proof of Stability; Technical and Auxiliary Lemmas.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Copyright Date: 2017
• Extent: 1 online resource (viii, 240 pages), illustrations (some color)
• Subjects: 518/.64; Mathematics; Differential equations, Partial -- Numerical solutions -- Congresses; Meshfree methods (Numerical analysis) -- Congresses; MATHEMATICS -- Numerical Analysis; Differential equations, Partial -- Numerical solutions; Meshfree methods (Numerical analysis); Mathematics; Computational Science and Engineering; Computer-Aided Engineering (CAD, CAE) and Design; Numeric Computing; Simulation and Modeling; Mathematical Modeling and Industrial Mathematics; Computers -- CAD-CAM; Computers -- Programming -- Algorithms; Computers -- Computer Simulation; Mathematics -- Applied; Computer-aided design (CAD); Mathematical theory of computation; Computer modelling & simulation; Mathematical modelling; Computer science; Computer aided design; Electronic data processing; Computer simulation; Computers -- Computer Science; Maths for scientists; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319519548; 3319519549
• Related ISBNs: 9783319519531; 3319519530
• Notes: Note: Online resource; title from PDF title page (SpringerLink, viewed April 17, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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