Results 31 to 40 of about 68,141 (218)

Algorithms and Data Structures for Multi-Adaptive Time-Stepping [PDF]

open access: yes, 2008
Multi-adaptive Galerkin methods are extensions of the standard continuous and discontinuous Galerkin methods for the numerical solution of initial value problems for ordinary or partial differential equations.
Jansson, Johan, Logg, Anders
core   +2 more sources

Polynomial-based mean weighted residuals methods for elliptic problems with nonlocal boundary conditions in the rectangle

open access: yesNonlinear Analysis, 2014
In this paper, polynomial-based mean weighted residuals methods for the solution of elliptic problems with nonlocal boundary conditions, in rectangular domains, are numerically studied.
Jesus Martín-Vaquero
doaj   +1 more source

Hard‐Magnetic Soft Millirobots in Underactuated Systems

open access: yesAdvanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang   +4 more
wiley   +1 more source

Quail: A lightweight open-source discontinuous Galerkin code in Python for teaching and prototyping

open access: yesSoftwareX, 2022
In this paper, we present Quail, a lightweight discontinuous Galerkin solver written in Python. The aim of this code is to serve not only as a teaching tool for newcomers to the rapidly growing field, but also as a prototyping platform for testing ...
Eric J. Ching   +3 more
doaj   +1 more source

Optimal Error Estimates of Galerkin Finite Element Methods for Stochastic Partial Differential Equations with Multiplicative Noise

open access: yes, 2011
We consider Galerkin finite element methods for semilinear stochastic partial differential equations (SPDEs) with multiplicative noise and Lipschitz continuous nonlinearities.
Kruse, Raphael
core   +1 more source

The discontinuous Petrov–Galerkin method

open access: yesActa Numerica
The discontinuous Petrov–Galerkin (DPG) method is a Petrov–Galerkin finite element method with test functions designed for obtaining stability. These test functions are computable locally, element by element, and are motivated by optimal test functions which attain the supremum in an inf-sup condition.
Leszek F. Demkowicz, Jay Gopalakrishnan
openaire   +1 more source

Failure characteristics analysis of the inclined interlayer during water‐soluble cavity construction of underground salt caverns for large‐scale energy storage

open access: yesDeep Underground Science and Engineering, EarlyView.
In the process of water‐soluble cavern construction of salt cavern energy storage, since the interlayer does not dissolve in water easily, sudden collapse will cause engineering accidents such as bending and damage of the inner tube of the cavern.
Zenghui Zhao   +5 more
wiley   +1 more source

hp-version interior penalty DGFEMs for the biharmonic equation [PDF]

open access: yes, 2004
We construct hp-version interior penalty discontinuous Galerkin finite element methods (DGFEMs) for the biharmonic equation, including symmetric and nonsymmetric interior penalty discontinuous Galerkin methods and their combinations: semisymmetric ...
Mozolevski, Igor, Suli, Endre
core   +1 more source

Numerical and experimental study on P‐wave propagation across a rock joint with different orientations

open access: yesDeep Underground Science and Engineering, EarlyView.
Joint orientation significantly affects P‐wave velocity, with the highest velocity at zero‐degree angles, decreasing to 30° as the angle increases. The velocity increases slightly from 30 to 45 degrees but sharply decreases from 45 to 90 degrees. Abstract Determination of the required parameters in different science contexts using the ultrasonic wave ...
Yaghoob Zarei   +4 more
wiley   +1 more source

hp-adaptive discontinuous Galerkin solver for elliptic equations in numerical relativity

open access: yes, 2019
A considerable amount of attention has been given to discontinuous Galerkin methods for hyperbolic problems in numerical relativity, showing potential advantages of the methods in dealing with hydrodynamical shocks and other discontinuities.
Fischer, N., Pfeiffer, H., Vincent, T.
core   +2 more sources

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