A convergent finite element formulation for transonic flow
type: Item
instance of: scholarly article
title: A convergent finite element formulation for transonic flow
zbMATH Open document ID: 0681.76066
DOI: 10.1007/BF01396647
author: Harald Berger
published in: Numerische Mathematik
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133406
Mathematics Subject Classification ID: 76H05
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35M99
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 4116187
zbMATH Keywords: finite-element formulation
zbMATH Keywords: full potential equation
zbMATH Keywords: two-dimensional transonic flow
zbMATH Keywords: optimal control approach
zbMATH Keywords: compactness result
zbMATH Keywords: minimization problem
zbMATH Keywords: a priori assumption
zbMATH Keywords: uniqueneess of a weak solution
zbMATH Keywords: entropy condition
zbMATH Keywords: three-dimensional transonic potential flow
MaRDI profile type: Publication
cites work: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
cites work: Finite elements for transonic potential flows
cites work: Existence and uniqueness of a subsonic flow past a given profile
cites work: Q3896686
cites work: On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. II: Application to transonic flow simulations
cites work: Q4162607
cites work: Stable and Entropy Satisfying Approximations for Transonic Flow Calculations
cites work: On the solvability of transonic potential flow problems
cites work: Studies on transonic flow problems by nonlinear variational inequalities
cites work: Q3321366
cites work: Multiple Solutions of the Transonic Potential Flow Equation
cites work: Convergence of Finite Elements for Transonic Potential Flows
cites work: Q5334555
cites work: On the non-existence of continuous transonic flows past profiles I
cites work: On the non-existence of continuous transonic flows past profiles II
cites work: Non‐existence of transonic flow past a profile
cites work: On a weak solution for a transonic flow problem
cites work: The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
cites work: Q3770203
cites work: Entropy Condition Satisfying Approximations for the Full Potential Equation of Transonic Flow
cites work: Q4147673
cites work: Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
cites work: Q5667036
cites work: Q4746129
cites work: Q3937901
description: scientific article; zbMATH DE number 4116187