Numerical analysis | Computational mathematics | Computational fluid dynamics | Numerical differential equations

Material point method

The material point method (MPM) is a numerical technique used to simulate the behavior of solids, liquids, gases, and any other continuum material. Especially, it is a robust spatial discretization method for simulating multi-phase (solid-fluid-gas) interactions. In the MPM, a continuum body is described by a number of small Lagrangian elements referred to as 'material points'. These material points are surrounded by a background mesh/grid that is used to calculate terms such as the deformation gradient. Unlike other mesh-based methods like the finite element method, finite volume method or finite difference method, the MPM is not a mesh based method and is instead categorized as a meshless/meshfree or continuum-based particle method, examples of which are smoothed particle hydrodynamics and peridynamics. Despite the presence of a background mesh, the MPM does not encounter the drawbacks of mesh-based methods (high deformation tangling, advection errors etc.) which makes it a promising and powerful tool in computational mechanics. The MPM was originally proposed, as an extension of a similar method known as FLIP (a further extension of a method called PIC) to computational solid dynamics, in the early 1990 by Professors , Zhen Chen and Howard L. Schreyer at University of New Mexico. After this initial development, the MPM has been further developed both in the national labs as well as the University of New Mexico, Oregon State University, University of Utah and more across the US and the world. Recently the number of institutions researching the MPM has been growing with added popularity and awareness coming from various sources such as the MPM's use in the Disney film Frozen. (Wikipedia).

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constructing a perpendicular line through a point (on the line) - geometry constructions

In this video, I show how to construct a perpendicular line through a point on the line. I use a compass and straightedge to construct the perpendicular line. The technique used in video is similar to the construction of a perpendicular bisector. Outside of this computer software, this is

From playlist Geometry

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Desmos Point Slope Form

Quick tips for setting up a line in desmos from a point and slope

From playlist desmos

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Example: Determine the Distance Between Two Points

This video shows an example of determining the length of a segment on the coordinate plane by using the distance formula. Complete Video List: http://www.mathispower4u.yolasite.com or http://www.mathispower4u.wordpress.com

From playlist Using the Distance Formula / Midpoint Formula

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Geometry - Constructions (5 of 15) How to Draw a Perpendicular Line from a Point NOT on the LIne

Visit http://ilectureonline.com for more math and science lectures! In this video I will demonstrate how to draw a perpendicular line from a point NOT on the line. Next video in the Constructions series can be seen at: http://youtu.be/EiBoYc-fXFE

From playlist GEOMETRY 2 - CONSTRUCTIONS

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A06 The equations of motion

A mathematics bonus. In this lecture I remind you of a way to calculate the cross product of two vector using the determinant of a matrix along the first row of unit vectors.

From playlist Physics ONE

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Given two points write them as a vector in component form

Learn how to write a vector in component form given two points and also how to determine the magnitude of a vector given in component form. Given two point vectors with one representing the initial point and the other representing the terminal point. The component form of the vector formed

From playlist Vectors

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Given two points write them as a vector in component form

Learn how to write a vector in component form given two points and also how to determine the magnitude of a vector given in component form. Given two point vectors with one representing the initial point and the other representing the terminal point. The component form of the vector formed

From playlist Vectors

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Distance from point to line

How to determine the distance from a point to a line. The ideas involve projection of vectors. Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/wHGVJKuSvu

From playlist Introduction to Vectors

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Mod-02 Lec-12 V-L-S Method

Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Delhi: Nano structured materials-synthesis, properties, self assembly and applications | CosmoLearning.org Materials Science

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Lukas Muechler - Quantum embedding methods for correlated excited states of point defects

Recorded 13 April 2022. Lukas Muechler of Penn State University, Chemistry, presents "Quantum embedding methods for correlated excited states of point defects: Case studies and challenges" at IPAM's Model Reduction in Quantum Mechanics Workshop. Abstract: A quantitative description of the

From playlist 2022 Model Reduction in Quantum Mechanics Workshop

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Mod-02 Lec-04 Synthetic Methodologies Contd..

Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Delhi: Nano structured materials-synthesis, properties, self assembly and applications | CosmoLearning.org Materials Science

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Mod-03 Lec-20 Metal and Metal Oxide Nanowires - III

Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Delhi: Nano structured materials-synthesis, properties, self assembly and applications | CosmoLearning.org Materials Science

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Paul Kent - Extending the reach and accuracy of Quantum Monte Carlo in materials - IPAM at UCLA

Recorded 29 March 2023. Paul Kent of Oak Ridge National Laboratory presents "Extending the reach and accuracy of Quantum Monte Carlo in materials" at IPAM's Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing workshop. Abstract: Advances in quantum mech

From playlist 2023 Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing

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Mod-02 Lec-03 Synthetic Methodologies

Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Delhi: Nano structured materials-synthesis, properties, self assembly and applications | CosmoLearning.org Materials Science

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Amartya Banerjee - Electronic Structure Calculations of Chiral Matter - IPAM at UCLA

Recorded 03 May 2022. Amartya Banerjee of the University of California, Los Angeles, presents "Electronic Structure Calculations of Chiral Matter - From First Principles Methods to Machine Learning Techniques" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop.

From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics

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Farzana Nasrin (8/29/21): Random Persistence Diagram Generator

We will discuss in this talk a method of generating random persistence diagrams (RPDG). RPDG is underpinned (i) by a parametric model based on pairwise interacting point processes for inference of persistence diagrams (PDs) and (ii) by a reversible jump Markov chain Monte Carlo (RJ-MCMC) a

From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021

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Peng Wang - Electron Ptychography: Emerging Computational Microscopy for Physical/Biological Science

Recorded 28 October 2022. Peng Wang of the University of Warwick presents "Electron Ptychography: An Emerging Computational Microscopy for Physical and Biological Sciences" at IPAM's Mathematical Advances for Multi-Dimensional Microscopy Workshop. Abstract: Ptychography is an emerging comp

From playlist 2022 Mathematical Advances for Multi-Dimensional Microscopy

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How to Compute a One Sided limit as x approaches from the right

In this video I will show you How to Compute a One Sided limit as x approaches from the right.

From playlist One-sided Limits

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Marco Bernardi - Quantum mechanical calculations of electron interactions in condensed matter

Recorded 12 April 2022. Marco Bernardi of the California Institute of Technology presents "Precise quantum mechanical calculations of electron interactions and dynamics in condensed matter" at IPAM's Model Reduction in Quantum Mechanics Workshop. Learn more online at: http://www.ipam.ucla.

From playlist 2022 Model Reduction in Quantum Mechanics Workshop

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Given the initial and terminal point, write the vector in component form

Learn how to write a vector in component form given two points and also how to determine the magnitude of a vector given in component form. Given two point vectors with one representing the initial point and the other representing the terminal point. The component form of the vector formed

From playlist Vectors

Related pages

Finite volume method | Numerical integration | Smoothed-particle hydrodynamics | Finite element method | Francis H. Harlow | Particle-in-cell | Dynamical system | Meshfree methods | Explicit and implicit methods | Partial differential equation | Finite difference method | Lagrangian mechanics