The test matrices are all from the UF sparse matrix collection, which need long time in numerical factorization.

Table 1 lists the time of numerical factorization between GSS and PARDISO. PARDISO’ s version is from Intel Composer XE 2013 SP1. GSS 2.4 use CPU-GPU hybrid computing. The testing CPU is INTEL Core i7-4770(3.4GHz) with 24G memory. The graphics card is ASUS GTX780 (with compute capability 3.5). NVIDIA CUDA Toolkit is 5.5. The operating system is Windows 7 64. Both solvers use default parameters.

For large matrices need long time computing, GSS 2.4 is Nearly 3 times faster than PARDISO. For matrices need short time computing, PARDISO is faster than GSS. One reason is that complex synchronization between CPU/GPU do need some extra time.

gss_pardiso

Table 1 numerical factorization time between GSS and PARDISO

Matrix

Description

Pattern

dimension

Non-zero

GSS

PARDISO

msdoor

Parasol matrices:

medium size door

415863

20240935

1.061

0.424

inline_1

structural problem:

 stiffness   matrix

503712

36816342

3.385

2.605

apache2

structural problem:

SPD matrix (finite difference 3D) from APACHE small

715176

4817870

3.518

4.386

boneS10

model reduction problem

3D trabecular bone

914898

55468422

5.585

4.636

audikw_1

structural problem:

 symmetric rb   matrix

943695

77651847

45.534

122.832

bone010

model reduction problem:

3D trabecular bone

986703

71666325

30.591

66.892

StocF-1465

computational fluid dynamics problem:

flow in porous medium with stochastic permeabilies

1465137

21005389

40.3

106.417

nd24k

2D/3D problem:

 ND problem set

72000

28715634

15.880

85.519

Fault_639

structural problem: contact mechanics for model of a   faulted gas reservoir

638802

28614564

43.633

186.405

Flan_1565

Finite element simulations: gas reservoir and structural   problems. 3D model of a steel flange, hexahedral finite elements

1564794

117406044

38.266

58.004

Emilia_923

Finite element simulations: gas reservoir and   structural problems. geomechanical model for C02 sequestration

923136

41005206

82.181

247.17

nd12k

ND problem set. 3D mesh problems.

36000

14220946

5.210

18.954

sum

315.114

904.244

 

 

Discussion

  1. efcaxdszdfszgd  July 29, 2020
  2. m980u9oy9y98o8y9pm  July 30, 2020
  3. m90uojmuy7hjhhhh  July 31, 2020
  4. rxc43rw435tr53t453t  August 2, 2020