Bloch theorem for isogeometric analysis of periodic problems governed by high-order partial differential equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.09.015 ◽

2016 ◽

Vol 311 ◽

pp. 743-763 ◽

Cited By ~ 9

Author(s):

Florian Maurin ◽

Laurens Coox ◽

Francesco Greco ◽

Elke Deckers ◽

Claus Claeys ◽

...

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Isogeometric Analysis ◽

High Order ◽

Partial Differential ◽

Bloch Theorem ◽

Periodic Problems

Download Full-text

Isogeometric Analysis and error estimates for high order partial differential equations in fluid dynamics

Computers & Fluids ◽

10.1016/j.compfluid.2014.07.002 ◽

2014 ◽

Vol 102 ◽

pp. 277-303 ◽

Cited By ~ 55

Author(s):

Anna Tagliabue ◽

Luca Dedè ◽

Alfio Quarteroni

Keyword(s):

Fluid Dynamics ◽

Partial Differential Equations ◽

Differential Equations ◽

Error Estimates ◽

Isogeometric Analysis ◽

High Order ◽

Partial Differential

Download Full-text

Solving Nonlinear, High-Order Partial Differential Equations Using a High-Performance Isogeometric Analysis Framework

Communications in Computer and Information Science - High Performance Computing ◽

10.1007/978-3-662-45483-1_17 ◽

2014 ◽

pp. 236-247 ◽

Cited By ~ 3

Author(s):

Adriano M. A. Côrtes ◽

Philippe Vignal ◽

Adel Sarmiento ◽

Daniel García ◽

Nathan Collier ◽

...

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Isogeometric Analysis ◽

High Performance ◽

High Order ◽

Analysis Framework ◽

Partial Differential ◽

Nonlinear High Order

Download Full-text

Isogeometric Analysis of high order Partial Differential Equations on surfaces

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2015.07.018 ◽

2015 ◽

Vol 295 ◽

pp. 446-469 ◽

Cited By ~ 48

Author(s):

Andrea Bartezzaghi ◽

Luca Dedè ◽

Alfio Quarteroni

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Isogeometric Analysis ◽

High Order ◽

Partial Differential

Download Full-text

On the solvability of nonlinear partial differential equations of a high order with deviating argument in lowest terms

Russian Mathematics ◽

10.3103/s1066369x16070021 ◽

2016 ◽

Vol 60 (7) ◽

pp. 7-13

Author(s):

O. I. Bzheumikhova ◽

V. N. Lesev

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

High Order ◽

Partial Differential ◽

Deviating Argument

Download Full-text

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.11.008 ◽

2015 ◽

Vol 284 ◽

pp. 807-834 ◽

Cited By ~ 20

Author(s):

Luca Dedè ◽

Alfio Quarteroni

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Isogeometric Analysis ◽

Second Order ◽

Partial Differential

Download Full-text

High order numerical algorithms based on biquadratic spline collocation for two-dimensional parabolic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1437260 ◽

2018 ◽

Vol 96 (3) ◽

pp. 500-536 ◽

Cited By ~ 1

Author(s):

Jun Liu ◽

Hui Guo ◽

Yao-Lin Jiang ◽

Yan Wang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Algorithms ◽

High Order ◽

Parabolic Partial Differential Equations ◽

Two Dimensional ◽

Spline Collocation ◽

Partial Differential

Download Full-text

Lattice Boltzmann model for high-order nonlinear partial differential equations

Physical Review E ◽

10.1103/physreve.97.013304 ◽

2018 ◽

Vol 97 (1) ◽

Cited By ~ 16

Author(s):

Zhenhua Chai ◽

Nanzhong He ◽

Zhaoli Guo ◽

Baochang Shi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Lattice Boltzmann ◽

Nonlinear Partial Differential Equations ◽

High Order ◽

Lattice Boltzmann Model ◽

Partial Differential ◽

Boltzmann Model

Download Full-text

Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113298 ◽

2021 ◽

Vol 388 ◽

pp. 113298

Author(s):

Chaolong Jiang ◽

Yushun Wang ◽

Yuezheng Gong

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

High Order ◽

Partial Differential ◽

Order Energy

Download Full-text

Compactly supported radial basis functions for solving certain high order partial differential equations in 3D

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2014.11.012 ◽

2015 ◽

Vol 55 ◽

pp. 2-9 ◽

Cited By ~ 5

Author(s):

Wen Li ◽

Ming Li ◽

C.S. Chen ◽

Xiaofeng Liu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Functions ◽

High Order ◽

Basis Functions ◽

Partial Differential ◽

Compactly Supported ◽

Radial Basis

Download Full-text

High-order finite element approximation for partial differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.01.012 ◽

2014 ◽

Vol 67 (4) ◽

pp. 709-711

Author(s):

Alexey Chernov ◽

Christoph Schwab

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Approximation ◽

High Order ◽

Element Approximation ◽

Partial Differential

Download Full-text