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

 

 


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