Groundwater Modeling by the Finite Element Method
Preface xiii
PART ONE BASIC CONCEPTS
Chapter I INTRODUCTION 3
Chapter 2 STEP 1- DISCRETIZE THE PROBLEM DOMAIN 13
Chapter 3 STEP 2: DERIVE THE APPROXIMATING EQUATIONS 30
Chapter 4 STEP 3: DEVELOP SYSTEM OF EQUATIONS 80
Chapter 5 STEP 4: SOLVE SYSTEM OF EQUATIONS 176
Chapter 6 STEP 5: CALCULATE REQUIRED ELEMENT RESULTANTS 226
PART TWO COMPUTER IMPLEMENTATION
Chapter 7 FINFFE ELEMENT COMPUTER PROGRAMS 255
Chapter 8 SUBROUTINE NODES 303
Chapter 9 SUBROUTINE ELEMENT 311
Chapter 10 SUBROUTINE MATERIAL 318
Chapter 11 SUBROUTINE BOUND 325
Chapter 12 SUBROUTINE ASMBK 331
Chapter 13 SUBROUTINES DECOMP AND SOLVE 363
Chapter 14 SUBROUTINE VELOCITY 371
Chapter 15 SUBROUTINE DUMP 393
Chapter 16 SUBROUTINE INITIAL 400
Chapter 17 SUBROUTINE ASMBKC 406
Chapter 18 SUBROUTINE RHS 420
Chapter 19 SUBROUTINE ASMBAD 423
PART THREE APPLICATIONS
Chapter 20 MODELING REGIONAL GROUNDWATER FLOW 445
Chapter 21 MODELING SOLUTION TRANSPORT 454
APPENDICES
Appendix I Derivation of Equations of Steady-State Groundwater Flow 458
Appendix II Derivation of Equations of Transient Groundwater Flow 464
Appendix III Derivation of Equationos of Solute Transport 469
Appendix IV Concepts from Linear Algebra used in the Finite Element Method 478
Appendix V Properties of Selected Aquifer Materials 485
REFERENCES 487
Index 493
Read more here: Source link