The immersed interface method: numerical solutions of PDEs involving interfaces and irregular domains
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Philadelphia
Society for Industrial and Applied Mathematics
2006
|
| Schriftenreihe: | Frontiers in applied mathematics
33 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014942303&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Includes bibliographical references and index |
| Umfang: | XVI, 332 S. graph. Darst. |
| ISBN: | 0898716098 |
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| 245 | 1 | 0 | |a The immersed interface method |b numerical solutions of PDEs involving interfaces and irregular domains |c Zhilin Li ; Kazufumi Ito |
| 264 | 1 | |a Philadelphia |b Society for Industrial and Applied Mathematics |c 2006 | |
| 300 | |a XVI, 332 S. |b graph. Darst. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Frontiers in applied mathematics |v 33 | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Analyse numérique | |
| 650 | 4 | |a Interfaces (Sciences physiques) - Mathématiques | |
| 650 | 4 | |a Équations aux dérivées partielles - Solutions numériques | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Differential equations, Partial |x Numerical solutions | |
| 650 | 4 | |a Numerical analysis | |
| 650 | 4 | |a Interfaces (Physical sciences) |x Mathematics | |
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| 830 | 0 | |a Frontiers in applied mathematics |v 33 |w (DE-604)BV001873790 |9 33 | |
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Datensatz im Suchindex
| _version_ | 1819351043790602240 |
|---|---|
| adam_text | THE IMMERSED INTERFACE METHOD NUMERICAL SOLUTIONS OF PDES INVOLVING
INTERFACES AND IRREGULAR DOMAINS ZHIIIN LI KAZUFUMI ITO NORTH CAROLINA
STATE UNIVERSITY RALEIGH, NORTH CAROLINA SOCIETY FOR INDUSTRIAL AND
APPLIED MATHEMATICS PHILADELPHIA CONTENTS PREFACE INTRODUCTION XV 1 1.1
A ONE-DIMENSIONAL MODEL PROBLEM 2 1.2 A TWO-DIMENSIONAL EXAMPLE OF HEAT
PROPAGATION IN A HETEROGENEOUS MATERIAL 3 1.3 EXAMPLES OF IRREGULAR
DOMAINS AND FREE BOUNDARY PROBLEMS 5 1.4 THE SCOPE OF THE MONOGRAPH AND
THE METHODOLOGY 5 1.4.1 JUMP CONDITIONS 7 1.4.2 THE CHOICE OF GRIDS 7
1.5 A MINIREVIEW OF SOME POPULAR FINITE DIFFERENCE METHODS FOR INTERFACE
PROBLEMS 8 1.5.1 THE SMOOTHING METHOD FOR DISCONTINUOUS COEFFICIENTS . .
. . 8 .5.2 THE HARMONIC AVERAGING FOR DISCONTINUOUS COEFFICIENTS ... 9
.5.3 PESKIN S IMMERSED BOUNDARY (IB) METHOD 10 .5.4 NUMERICAL METHODS
BASED ON INTEGRAL EQUATIONS 12 .5.5 THE GHOST FLUID METHOD 13 .5.6
FINITE DIFFERENCE AND FINITE VOLUME METHODS 14 1.6 CONVENTIONS AND
NOTATION 14 .6.1 CARTESIAN GRIDS 14 .6.2 LIMITING VALUES AND JUMP
CONDITIONS 14 .6.3 THE LOCAL COORDINATES 16 .6.4 INTERFACE
REPRESENTATIONS 16 1.7 WHAT IS THE 1IM? 20 THE IIM FOR ONE-DIMENSIONAL
ELLIPTIC INTERFACE PROBLEMS 23 2.1 REFORMULATING THE PROBLEM USING THE
JUMP CONDITIONS 23 2.2 THE IIM FOR THE SIMPLE ONE-DIMENSIONAL MODEL
EQUATION 24 2.2.1 THE DERIVATION OF THE FINITE DIFFERENCE SCHEME AT AN
IRREGULAR GRID POINT 25 2.3 THE IIM FOR GENERAL ONE-DIMENSIONAL ELLIPTIC
INTERFACE PROBLEMS . . . . 27 2.4 THE ERROR ANALYSIS OF THE IIM FOR
ONE-DIMENSIONAL INTERFACE PROBLEMS . 28 2.5 ONE-DIMENSIONAL NUMERICAL
EXAMPLES AND A COMPARISON WITH OTHER METHODS 30 IX CONTENTS THE IIM FOR
TWO-DIMENSIONAL ELLIPTIC INTERFACE PROBLEMS 33 3.1 INTERFACE RELATIONS
FOR TWO-DIMENSIONAL ELLIPTIC INTERFACE PROBLEMS . . . 34 3.2 THE FINITE
DIFFERENCE SCHEME OF THE IIM IN TWO DIMENSIONS 35 3.3 THE 6-POINT FINITE
DIFFERENCE STENCIL AT IRREGULAR GRID POINTS 39 3.4 THE FAST POISSON
SOLVER FOR PROBLEMS WITH ONLY SINGULAR SOURCES . . . . 39 3.5 ENFORCING
THE DISCRETE MAXIMUM PRINCIPLE 40 3.5.1 CHOOSING THE FINITE DIFFERENCE
STENCIL 41 3.5.2 SOLVING THE OPTIMIZATION PROBLEM 42 3.6 THE ERROR
ANALYSIS OF THE MAXIMUM PRINCIPLE PRESERVING SCHEME . . . . 42 3.6.1
EXISTENCE OF THE SOLUTION TO THE OPTIMIZATION PROBLEM . . . . 43 3.6.2
THE PROOF OF THE CONVERGENCE OF THE FINITE DIFFERENCE SCHEME 45 3.7 SOME
NUMERICAL EXAMPLES FOR TWO-DIMENSIONAL ELLIPTIC INTERFACE PROBLEMS 48
3.8 ALGORITHM EFFICIENCY ANALYSIS 51 3.9 MULTIGRID SOLVERS FOR LARGE
JUMP RATIOS 53 THE IIM FOR THREE-DIMENSIONAL ELLIPTIC INTERFACE PROBLEMS
57 4.1 A LOCAL COORDINATE SYSTEM IN THREE DIMENSIONS 57 4.2 INTERFACE
RELATIONS FOR THREE-DIMENSIONAL ELLIPTIC INTERFACE PROBLEMS . . 58 4.3
THE FINITE DIFFERENCE SCHEME OF THE IIM IN THREE DIMENSIONS 61 4.3.1
FINITE DIFFERENCE EQUATIONS AT REGULAR GRID POINTS 62 4.3.2 COMPUTING
THE ORTHOGONAL PROJECTION IN A THREE-DIMENSIONAL CARTESIAN GRID 62 4.3.3
SETTING UP A LOCAL COORDINATE SYSTEM USING A LEVEL SET FUNCTION 63 4.3.4
THE BILINEAR INTERPOLATION IN THREE DIMENSIONS 63 4.4 DERIVING THE
FINITE DIFFERENCE EQUATION AT AN IRREGULAR GRID POINT .... 64 4.4.1
COMPUTING SURFACE DERIVATIVES OF INTERFACE QUANTITIES IN THREE
DIMENSIONS 68 4.4.2 THE 10-POINT FINITE DIFFERENCE STENCIL AT IRREGULAR
GRID POINTS 69 4.4.3 THE MAXIMUM PRINCIPLE PRESERVING SCHEME IN THREE
DIMENSIONS 69 4.4.4 SOLVING THE FINITE DIFFERENCE EQUATIONS USING AN AMG
SOLVER 70 4.5 A NUMERICAL EXAMPLE FOR A THREE-DIMENSIONAL ELLIPTIC
INTERFACE PROBLEM 71 REMOVING SOURCE SINGULARITIES FOR CERTAIN INTERFACE
PROBLEMS 73 5.1 ELIMINATING SOURCE SINGULARITIES USING LEVEL SET
FUNCTIONS: THE THEORY 73 5.2 THE FINITE DIFFERENCE SCHEME USING THE NEW
FORMULATION 75 5.2.1 THE EXTENSION OF JUMP CONDITIONS ALONG THE NORMAL
LINES 75 CONTENTS XI 5.2.2 THE ORTHOGONAL PROJECTIONS IN CARTESIAN AND
POLAR COORDINATES IN TWO DIMENSIONS 76 5.2.3 THE DISCRETIZATION STRATEGY
USING THE TRANSFORMATION 77 5.2.4 AN OUTLINE OF THE ALGORITHM OF
REMOVING SOURCE SINGULARITIES 78 5.2.5 A CLOSED FORMULA FOR THE
CORRECTION TERMS 78 5.2.6 COMPUTING THE GRADIENT USING THE NEW
FORMULATION 82 5.2.7 AN EXAMPLE OF REMOVING SOURCE SINGULARITIES 83 5.3
REMOVING SOURCE SINGULARITIES FOR VARIABLE COEFFICIENTS 85 5.4
ORTHOGONAL PROJECTIONS AND EXTENSIONS IN SPHERICAL COORDINATES . . . .
86 6 AUGMENTED STRATEGIES 89 6. 1 THE AUGMENTED TECHNIQUE FOR ELLIPTIC
INTERFACE PROBLEMS 90 6.1.1 THE AUGMENTED VARIABLE FOR THE ELLIPTIC
INTERFACE PROBLEMS 90 .2 THE DISCRETE SYSTEM OF EQUATIONS IN
MATRIX-VECTOR FORM ... 91 .3 THE LEAST SQUARES INTERPOLATION SCHEME FROM
A CARTESIAN GRID TO AN INTERFACE 94 .4 INVERTIBILITY OF THE SCHUR
COMPLEMENT SYSTEM 97 .5 A PRECONDITIONER FOR THE SCHUR COMPLEMENT SYSTEM
98 .6 NUMERICAL EXPERIMENTS AND ANALYSIS OF THE FAST IIM 99 6.2 THE
AUGMENTED METHOD FOR GENERALIZED HELMHOLTZ EQUATIONS ON IRREGULAR
DOMAINS 104 6.2.1 AN EXAMPLE OF THE AUGMENTED APPROACH FOR POISSON
EQUATIONS ON IRREGULAR DOMAINS 107 7 THE FOURTH-ORDER IIM 109 7.1
TWO-POINT BOUNDARY VALUE PROBLEMS 110 7.1.1 THE CONSTANT COEFFICIENT
CASE ILL 7.1.2 GENERAL BOUNDARY CONDITIONS ILL 7.1.3 THE SMOOTH VARIABLE
COEFFICIENT CASE 112 7.1.4 THE PIECEWISE CONSTANT COEFFICIENT CASE 114
7.2 TWO-DIMENSIONAL CASES 116 7.2.1 THE FOURTH-ORDER COMPACT CENTRAL
FINITE DIFFERENCE METHOD 116 7.2.2 NEUMANN BOUNDARY CONDITIONS 117 7.2.3
THE FOURTH-ORDER METHOD FOR POISSON EQUATIONS ON IRREGULAR DOMAINS 121
7.2.4 PROJECTIONS AND A FOURTH-ORDER POLYNOMIAL INTERPOLATION 124 7.2.5
THE FOURTH-ORDER METHOD FOR HEAT EQUATIONS ON IRREGULAR DOMAINS 125
7.2.6 THE FOURTH-ORDER METHOD FOR PDES WITH VARIABLE COEFFICIENT ON
IRREGULAR DOMAINS 127 XII CONTENTS 7.2.7 THE FOURTH-ORDER METHOD FOR
INTERFACE PROBLEMS 129 7.2.8 THE FOURTH-ORDER METHOD FOR HEAT EQUATIONS
WITH INTERFACES 132 7.3 THE FOURTH-ORDER METHODS FOR THREE DIMENSIONAL
CASES 134 7.3.1 THE FOURTH-ORDER SCHEME FOR PROBLEMS ON IRREGULAR
DOMAINS IN THREE DIMENSIONS 134 7.3.2 THE FOURTH-ORDER SCHEME FOR
THREE-DIMENSIONAL INTERFACE PROBLEMS 136 7.4 THE PRECONDITIONED SUBSPACE
ITERATION METHOD 138 7.4.1 THE IRREGULAR DOMAIN CASE 140 7.4.2 THE
INTERFACE CASE 141 7.5 NUMERICAL EXPERIMENTS 142 7.5.1 THE IRREGULAR
DOMAIN CASE 142 7.5.2 EXAMPLES FOR EIGENVALUES AND EIGENFUNCTIONS IN A
CIRCULAR DOMAIN 145 7.5.3 RESULTS FOR THE VARIABLE COEFFICIENT CASE 148
7.5.4 RESULTS FOR THE INTERFACE PROBLEM 151 7.5.5 AN EIGENVALUE PROBLEM
WITH AN INTERFACE 153 7.6 THE WELL-POSEDNESS AND THE CONVERGENCE RATE
155 7.6.1 CONVERGENCE RATE 156 8 THE IMMERSED FINITE ELEMENT METHODS 159
8.1 THE IFEM FOR ONE-DIMENSIONAL INTERFACE PROBLEMS 160 8.1.1 NEW BASIS
FUNCTIONS SATISFYING THE JUMP CONDITIONS .... 160 8.1.2 THE
INTERPOLATION FUNCTIONS IN THE ONE-DIMENSIONAL IFEM SPACE 163 8.1.3 THE
CONVERGENCE ANALYSIS FOR THE ONE-DIMENSIONAL IFEM . . 166 8.1.4 A
NUMERICAL EXAMPLE OF ONE-DIMENSIONAL IFEM 167 8.2 THE WEAK FORM OF
TWO-DIMENSIONAL ELLIPTIC INTERFACE PROBLEMS 170 8.3 A NONCONFORMING IFE
SPACE AND ANALYSIS 171 8.3.1 LOCAL BASIS FUNCTIONS ON AN INTERFACE
ELEMENT 171 8.3.2 THE NONCONFORMING IFE SPACE 173 8.3.3 APPROXIMATION
PROPERTIES OF THE NONCONFORMING IFE SPACE 174 8.3.4 A NONCONFORMING IFEM
177 8.4 A CONFORMING IFE SPACE AND ANALYSIS 177 8.4.1 THE CONFORMING
LOCAL BASIS FUNCTIONS ON AN INTERFACE ELEMENT 178 8.4.2 A CONFORMING IFE
SPACE 179 8.4.3 APPROXIMATION PROPERTIES OF THE CONFORMING IFE SPACE ...
179 8.5 A NUMERICAL EXAMPLE AND ANALYSIS FOR IFEMS 182 8.5.1 NUMERICAL
RESULTS FOR THE CONFORMING IFEM 183 8.5.2 A COMPARISON WITH THE FINITE
ELEMENT METHOD WITH ADDED NODES 185 8.6 IFEM FOR PROBLEMS WITH
NONHOMOGENEOUS JUMP CONDITIONS 186 CONTENTS XIII 9 THE IIM FOR PARABOLIC
INTERFACE PROBLEMS 189 9.1 THE IIM FOR ONE-DIMENSIONAL HEAT EQUATIONS
WITH FIXED INTERFACES ... 189 9.2 THE IIM FOR ONE-DIMENSIONAL MOVING
INTERFACE PROBLEMS 191 9.2.1 THE MODIFIED CRANK-NICHOLSON SCHEME 192
9.2.2 DEALING WITH GRID CROSSING 194 9.2.3 THE DISCRETIZATIONS OF U X
AND (FIU X ) X NEAR THE INTERFACE . . . 195 9.2.4 COMPUTING INTERFACE
QUANTITIES 199 9.2.5 SOLVING THE RESULTING NONLINEAR SYSTEM OF
EQUATIONS 200 9.2.6 VALIDATION OF THE ALGORITHM FOR A ONE-DIMENSIONAL
MOVING INTERFACE PROBLEM 202 9.3 THE MODIFIED ADI METHOD FOR HEAT
EQUATIONS WITH DISCONTINUITIES . . . 203 9.3.1 THE MODIFIED ADI SCHEME
204 9.3.2 DETERMINING THE SPATIAL CORRECTION TERMS 205 9.3.3 DECOMPOSING
THE JUMP CONDITION IN THE COORDINATE DIRECTIONS 206 9.3.4 THE LOCAL
TRUNCATION ERROR ANALYSIS FOR THE ADI METHOD . . .206 9.3.5 A NUMERICAL
EXAMPLE OF THE MODIFIED ADI METHOD 209 9.4 THE IIM FOR DIFFUSION AND
ADVECTION EQUATIONS 210 9.4.1 DETERMINING THE FINITE DIFFERENCE
COEFFICIENTS FOR THE DIFFUSION TERM 211 9.4.2 DETERMINING THE FINITE
DIFFERENCE COEFFICIENTS FOR THE ADVECTION TERM 212 10 THE IIM FOR STOKES
AND NAVIER-STOKES EQUATIONS 215 10.1 THE DERIVATION OF THE JUMP
CONDITIONS FOR STOKES AND NAVIER-STOKES EQUATIONS 215 10.2 THE IIM FOR
STOKES EQUATIONS WITH SINGULAR SOURCES: THE MEMBRANE MODEL 220 10.2.1
THE FORCE DENSITY OF THE ELASTIC MEMBRANE MODEL 221 10.2.2 SOLVING THE
POISSON EQUATION FOR THE PRESSURE 223 10.2.3 SOLVING THE POISSON
EQUATIONS FOR THE VELOCITY (U,V) 223 10.2.4 EVOLVING THE INTERFACE USING
AN EXPLICIT METHOD ........ 225 10.2.5 EVOLVING THE INTERFACE USING AN
IMPLICIT METHOD 227 10.2.6 THE VALIDATION OF THE IIM FOR MOVING ELASTIC
MEMBRANES 228 10.3 THE IIM FOR STOKES EQUATIONS WITH SINGULAR SOURCES:
THE SURFACE TENSION MODEL 233 10.4 AN AUGMENTED APPROACH FOR STOKES
EQUATIONS WITH DISCONTINUOUS VISCOSITY 236 10.4.1 THE AUGMENTED
ALGORITHM FOR STOKES EQUATIONS 237 10.4.2 THE VALIDATION OF THE
AUGMENTED METHOD FOR STOKES EQUATIONS 242 10.5 AN AUGMENTED APPROACH FOR
PRESSURE BOUNDARY CONDITIONS 247 10.5.1 COMPUTING THE LAPLACIAN OF THE
VELOCITY ALONG A BOUNDARY FOR A NONSLIP BOUNDARY CONDITION 249 XIV
CONTENTS 10.6 THE IIM FOR NAVIER-STOKES EQUATIONS WITH SINGULAR SOURCES
250 10.6.1 ADDITIONAL INTERFACE RELATIONS 251 10.6.2 THE MODIFIED FINITE
DIFFERENCE METHOD FOR NAVIER-STOKES EQUATIONS WITH INTERFACES 252 10.6.3
DETERMINING THE CORRECTION TERMS 253 10.6.4 CORRECTION TERMS TO THE
PROJECTION METHOD 254 10.6.5 FURTHER CORRECTIONS NEAR THE BOUNDARY AND
THE INTERFACE . . .255 10.6.6 COMPARISONS AND VALIDATION OF THE IIM FOR
NAVIER-STOKES EQUATIONS WITH INTERFACES 255 11 SOME APPLICATIONS OF THE
IIM 265 11.1 THE FRAMEWORK COUPLING THE IIM WITH EVOLUTION SCHEMES 265
11.1.1 THE FRONT-TRACKING METHOD 266 11.1.2 COUPLING THE LEVEL SET
METHOD WITH THE IIM 267 11.1.3 ORTHOGONAL PROJECTIONS AND THE BILINEAR
INTERPOLATION . . . .268 11.1.4 VELOCITY EXTENSION ALONG NORMAL
DIRECTIONS 269 11.1.5 RECONSTRUCTING THE INTERFACE LOCALLY FROM A LEVEL
SET FUNCTION 270 11.2 THE HYBRID IIM-LEVEL SET METHOD FOR THE HELE-SHAW
FLOW 271 11.2.1 DYNAMIC STABILITY OF THE HELE-SHAW FLOW 272 11.2.2 THE
IIM FOR THE HELE-SHAW FLOW 272 11.2.3 NUMERICAL EXPERIMENTS OF THE
HELE-SHAW FLOW 274 11.3 SIMULATIONS OF STEFAN PROBLEMS AND CRYSTAL
GROWTH 278 11.3.1 A MODIFIED CRANK-NICOLSON DISCRETIZATION 280 11.3.2
THE MODIFIED ADI METHOD FOR STEFAN PROBLEMS 282 11.3.3 NUMERICAL
SIMULATIONS OF THE STEFAN PROBLEM 285 11.4 AN APPLICATION TO AN INVERSE
PROBLEM OF SHAPE IDENTIFICATION 287 11.4.1 AN OUTLINE OF THE ALGORITHM
FOR THE INVERSE PROBLEM 292 11.4.2 IDENTIFYING SEVERAL MINIMA 292 11.4.3
NUMERICAL EXAMPLES OF SHAPE IDENTIFICATION 293 11.5 APPLICATIONS TO
NONLINEAR INTERFACE PROBLEMS 297 11.5.1 THE SUBSTITUTION METHOD 298
11.5.2 COMPUTING P AND ITS DERIVATIVES 300 11.5.3 NUMERICAL EXPERIMENTS
OF MR FLUIDS WITH PARTICLES 302 11.6 OTHER METHODS RELATED TO THE IIM
306 11.6.1 THE IIM FOR HYPERBOLIC SYSTEMS OF PDES 306 11.6.2 THE
EXPLICIT JUMP IMMERSED INTERFACE METHOD (EJIIM) . . .307 11.6.3 THE
HIGH-ORDER MATCHED INTERFACE AND BOUNDARY METHOD 308 11.7 FUTURE
DIRECTIONS 309 BIBLIOGRAPHY 311 INDEX 331
|
| any_adam_object | 1 |
| author | Li, Zhilin 1960- |
| author_GND | (DE-588)12982089X (DE-588)134247477 |
| author_facet | Li, Zhilin 1960- |
| author_role | aut |
| author_sort | Li, Zhilin 1960- |
| author_variant | z l zl |
| building | Verbundindex |
| bvnumber | BV021728760 |
| callnumber-first | Q - Science |
| callnumber-label | QA374 |
| callnumber-raw | QA374 |
| callnumber-search | QA374 |
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| callnumber-subject | QA - Mathematics |
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| ctrlnum | (OCoLC)64594525 (DE-599)BVBBV021728760 |
| dewey-full | 518/.64 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518/.64 |
| dewey-search | 518/.64 |
| dewey-sort | 3518 264 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV021728760 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T12:40:24Z |
| institution | BVB |
| isbn | 0898716098 |
| language | English |
| lccn | 2006044254 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014942303 |
| oclc_num | 64594525 |
| open_access_boolean | |
| owner | DE-29T DE-703 |
| owner_facet | DE-29T DE-703 |
| physical | XVI, 332 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | marc |
| series | Frontiers in applied mathematics |
| series2 | Frontiers in applied mathematics |
| spellingShingle | Li, Zhilin 1960- The immersed interface method numerical solutions of PDEs involving interfaces and irregular domains Frontiers in applied mathematics Analyse numérique Interfaces (Sciences physiques) - Mathématiques Équations aux dérivées partielles - Solutions numériques Mathematik Differential equations, Partial Numerical solutions Numerical analysis Interfaces (Physical sciences) Mathematics Partielle Differentialgleichung (DE-588)4044779-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Grenzfläche (DE-588)4021991-4 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4128130-5 (DE-588)4021991-4 |
| title | The immersed interface method numerical solutions of PDEs involving interfaces and irregular domains |
| title_auth | The immersed interface method numerical solutions of PDEs involving interfaces and irregular domains |
| title_exact_search | The immersed interface method numerical solutions of PDEs involving interfaces and irregular domains |
| title_full | The immersed interface method numerical solutions of PDEs involving interfaces and irregular domains Zhilin Li ; Kazufumi Ito |
| title_fullStr | The immersed interface method numerical solutions of PDEs involving interfaces and irregular domains Zhilin Li ; Kazufumi Ito |
| title_full_unstemmed | The immersed interface method numerical solutions of PDEs involving interfaces and irregular domains Zhilin Li ; Kazufumi Ito |
| title_short | The immersed interface method |
| title_sort | the immersed interface method numerical solutions of pdes involving interfaces and irregular domains |
| title_sub | numerical solutions of PDEs involving interfaces and irregular domains |
| topic | Analyse numérique Interfaces (Sciences physiques) - Mathématiques Équations aux dérivées partielles - Solutions numériques Mathematik Differential equations, Partial Numerical solutions Numerical analysis Interfaces (Physical sciences) Mathematics Partielle Differentialgleichung (DE-588)4044779-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Grenzfläche (DE-588)4021991-4 gnd |
| topic_facet | Analyse numérique Interfaces (Sciences physiques) - Mathématiques Équations aux dérivées partielles - Solutions numériques Mathematik Differential equations, Partial Numerical solutions Numerical analysis Interfaces (Physical sciences) Mathematics Partielle Differentialgleichung Numerisches Verfahren Grenzfläche |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014942303&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001873790 |
| work_keys_str_mv | AT lizhilin theimmersedinterfacemethodnumericalsolutionsofpdesinvolvinginterfacesandirregulardomains AT itokazufumi theimmersedinterfacemethodnumericalsolutionsofpdesinvolvinginterfacesandirregulardomains |